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

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Solution for -3(y-4)-2y=2(y+1) equation:


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

Reorder the terms:
-3(-4 + y) + -2y = 2(y + 1)
(-4 * -3 + y * -3) + -2y = 2(y + 1)
(12 + -3y) + -2y = 2(y + 1)

Combine like terms: -3y + -2y = -5y
12 + -5y = 2(y + 1)

Reorder the terms:
12 + -5y = 2(1 + y)
12 + -5y = (1 * 2 + y * 2)
12 + -5y = (2 + 2y)

Solving
12 + -5y = 2 + 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.
12 + -5y + -2y = 2 + 2y + -2y

Combine like terms: -5y + -2y = -7y
12 + -7y = 2 + 2y + -2y

Combine like terms: 2y + -2y = 0
12 + -7y = 2 + 0
12 + -7y = 2

Add '-12' to each side of the equation.
12 + -12 + -7y = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -7y = 2 + -12
-7y = 2 + -12

Combine like terms: 2 + -12 = -10
-7y = -10

Divide each side by '-7'.
y = 1.428571429

Simplifying
y = 1.428571429

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