-3(5y-5)-y=-2(y-2)

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Solution for -3(5y-5)-y=-2(y-2) equation:


Simplifying
-3(5y + -5) + -1y = -2(y + -2)

Reorder the terms:
-3(-5 + 5y) + -1y = -2(y + -2)
(-5 * -3 + 5y * -3) + -1y = -2(y + -2)
(15 + -15y) + -1y = -2(y + -2)

Combine like terms: -15y + -1y = -16y
15 + -16y = -2(y + -2)

Reorder the terms:
15 + -16y = -2(-2 + y)
15 + -16y = (-2 * -2 + y * -2)
15 + -16y = (4 + -2y)

Solving
15 + -16y = 4 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
15 + -16y + 2y = 4 + -2y + 2y

Combine like terms: -16y + 2y = -14y
15 + -14y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
15 + -14y = 4 + 0
15 + -14y = 4

Add '-15' to each side of the equation.
15 + -15 + -14y = 4 + -15

Combine like terms: 15 + -15 = 0
0 + -14y = 4 + -15
-14y = 4 + -15

Combine like terms: 4 + -15 = -11
-14y = -11

Divide each side by '-14'.
y = 0.7857142857

Simplifying
y = 0.7857142857

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