y^2+7y=7(y+7)

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Solution for y^2+7y=7(y+7) equation: 


Simplifying
y2 + 7y = 7(y + 7)

Reorder the terms:
7y + y2 = 7(y + 7)

Reorder the terms:
7y + y2 = 7(7 + y)
7y + y2 = (7 * 7 + y * 7)
7y + y2 = (49 + 7y)

Add '-7y' to each side of the equation.
7y + -7y + y2 = 49 + 7y + -7y

Combine like terms: 7y + -7y = 0
0 + y2 = 49 + 7y + -7y
y2 = 49 + 7y + -7y

Combine like terms: 7y + -7y = 0
y2 = 49 + 0
y2 = 49

Solving
y2 = 49

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying
y2 = 49

Take the square root of each side:
y = {-7, 7}

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