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

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


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

Reorder the terms:
-3(-2 + 5y) + -1y = 4(y + -2)
(-2 * -3 + 5y * -3) + -1y = 4(y + -2)
(6 + -15y) + -1y = 4(y + -2)

Combine like terms: -15y + -1y = -16y
6 + -16y = 4(y + -2)

Reorder the terms:
6 + -16y = 4(-2 + y)
6 + -16y = (-2 * 4 + y * 4)
6 + -16y = (-8 + 4y)

Solving
6 + -16y = -8 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
6 + -16y + -4y = -8 + 4y + -4y

Combine like terms: -16y + -4y = -20y
6 + -20y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 0
6 + -20y = -8 + 0
6 + -20y = -8

Add '-6' to each side of the equation.
6 + -6 + -20y = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -20y = -8 + -6
-20y = -8 + -6

Combine like terms: -8 + -6 = -14
-20y = -14

Divide each side by '-20'.
y = 0.7

Simplifying
y = 0.7

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