4(1-7y)-2=5(8+2y)

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Solution for 4(1-7y)-2=5(8+2y) equation: 


Simplifying
4(1 + -7y) + -2 = 5(8 + 2y)
(1 * 4 + -7y * 4) + -2 = 5(8 + 2y)
(4 + -28y) + -2 = 5(8 + 2y)

Reorder the terms:
4 + -2 + -28y = 5(8 + 2y)

Combine like terms: 4 + -2 = 2
2 + -28y = 5(8 + 2y)
2 + -28y = (8 * 5 + 2y * 5)
2 + -28y = (40 + 10y)

Solving
2 + -28y = 40 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
2 + -28y + -10y = 40 + 10y + -10y

Combine like terms: -28y + -10y = -38y
2 + -38y = 40 + 10y + -10y

Combine like terms: 10y + -10y = 0
2 + -38y = 40 + 0
2 + -38y = 40

Add '-2' to each side of the equation.
2 + -2 + -38y = 40 + -2

Combine like terms: 2 + -2 = 0
0 + -38y = 40 + -2
-38y = 40 + -2

Combine like terms: 40 + -2 = 38
-38y = 38

Divide each side by '-38'.
y = -1

Simplifying
y = -1

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