7y+2=5(y-4)

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Solution for 7y+2=5(y-4) equation: 


Simplifying
7y + 2 = 5(y + -4)

Reorder the terms:
2 + 7y = 5(y + -4)

Reorder the terms:
2 + 7y = 5(-4 + y)
2 + 7y = (-4 * 5 + y * 5)
2 + 7y = (-20 + 5y)

Solving
2 + 7y = -20 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
2 + 7y + -5y = -20 + 5y + -5y

Combine like terms: 7y + -5y = 2y
2 + 2y = -20 + 5y + -5y

Combine like terms: 5y + -5y = 0
2 + 2y = -20 + 0
2 + 2y = -20

Add '-2' to each side of the equation.
2 + -2 + 2y = -20 + -2

Combine like terms: 2 + -2 = 0
0 + 2y = -20 + -2
2y = -20 + -2

Combine like terms: -20 + -2 = -22
2y = -22

Divide each side by '2'.
y = -11

Simplifying
y = -11

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