# Solve for y (3y+6)^2=36

(3y+6)2=36
Take the square root of each side of the equation to set up the solution for y
(3y+6)2⋅12=±36
Remove the perfect root factor 3y+6 under the radical to solve for y.
3y+6=±36
Simplify the right side of the equation.
Rewrite 36 as 62.
3y+6=±62
Pull terms out from under the radical, assuming positive real numbers.
3y+6=±6
3y+6=±6
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
3y+6=6
Move all terms not containing y to the right side of the equation.
Subtract 6 from both sides of the equation.
3y=6-6
Subtract 6 from 6.
3y=0
3y=0
Divide each term by 3 and simplify.
Divide each term in 3y=0 by 3.
3y3=03
Cancel the common factor of 3.
Cancel the common factor.
3y3=03
Divide y by 1.
y=03
y=03
Divide 0 by 3.
y=0
y=0
Next, use the negative value of the ± to find the second solution.
3y+6=-6
Move all terms not containing y to the right side of the equation.
Subtract 6 from both sides of the equation.
3y=-6-6
Subtract 6 from -6.
3y=-12
3y=-12
Divide each term by 3 and simplify.
Divide each term in 3y=-12 by 3.
3y3=-123
Cancel the common factor of 3.
Cancel the common factor.
3y3=-123
Divide y by 1.
y=-123
y=-123
Divide -12 by 3.
y=-4
y=-4
The complete solution is the result of both the positive and negative portions of the solution.
y=0,-4
y=0,-4
Solve for y (3y+6)^2=36

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