-3(5y-3)-y=-2(y-4)

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Solution for -3(5y-3)-y=-2(y-4) equation:


Simplifying
-3(5y + -3) + -1y = -2(y + -4)

Reorder the terms:
-3(-3 + 5y) + -1y = -2(y + -4)
(-3 * -3 + 5y * -3) + -1y = -2(y + -4)
(9 + -15y) + -1y = -2(y + -4)

Combine like terms: -15y + -1y = -16y
9 + -16y = -2(y + -4)

Reorder the terms:
9 + -16y = -2(-4 + y)
9 + -16y = (-4 * -2 + y * -2)
9 + -16y = (8 + -2y)

Solving
9 + -16y = 8 + -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.
9 + -16y + 2y = 8 + -2y + 2y

Combine like terms: -16y + 2y = -14y
9 + -14y = 8 + -2y + 2y

Combine like terms: -2y + 2y = 0
9 + -14y = 8 + 0
9 + -14y = 8

Add '-9' to each side of the equation.
9 + -9 + -14y = 8 + -9

Combine like terms: 9 + -9 = 0
0 + -14y = 8 + -9
-14y = 8 + -9

Combine like terms: 8 + -9 = -1
-14y = -1

Divide each side by '-14'.
y = 0.07142857143

Simplifying
y = 0.07142857143

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