-5(y+1)=5y-7+4(2y+4)

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Solution for -5(y+1)=5y-7+4(2y+4) equation:


Simplifying
-5(y + 1) = 5y + -7 + 4(2y + 4)

Reorder the terms:
-5(1 + y) = 5y + -7 + 4(2y + 4)
(1 * -5 + y * -5) = 5y + -7 + 4(2y + 4)
(-5 + -5y) = 5y + -7 + 4(2y + 4)

Reorder the terms:
-5 + -5y = 5y + -7 + 4(4 + 2y)
-5 + -5y = 5y + -7 + (4 * 4 + 2y * 4)
-5 + -5y = 5y + -7 + (16 + 8y)

Reorder the terms:
-5 + -5y = -7 + 16 + 5y + 8y

Combine like terms: -7 + 16 = 9
-5 + -5y = 9 + 5y + 8y

Combine like terms: 5y + 8y = 13y
-5 + -5y = 9 + 13y

Solving
-5 + -5y = 9 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
-5 + -5y + -13y = 9 + 13y + -13y

Combine like terms: -5y + -13y = -18y
-5 + -18y = 9 + 13y + -13y

Combine like terms: 13y + -13y = 0
-5 + -18y = 9 + 0
-5 + -18y = 9

Add '5' to each side of the equation.
-5 + 5 + -18y = 9 + 5

Combine like terms: -5 + 5 = 0
0 + -18y = 9 + 5
-18y = 9 + 5

Combine like terms: 9 + 5 = 14
-18y = 14

Divide each side by '-18'.
y = -0.7777777778

Simplifying
y = -0.7777777778

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