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

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


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

Reorder the terms:
-2(-5 + 4y) + 2y = 4 + 3(4y + -2)
(-5 * -2 + 4y * -2) + 2y = 4 + 3(4y + -2)
(10 + -8y) + 2y = 4 + 3(4y + -2)

Combine like terms: -8y + 2y = -6y
10 + -6y = 4 + 3(4y + -2)

Reorder the terms:
10 + -6y = 4 + 3(-2 + 4y)
10 + -6y = 4 + (-2 * 3 + 4y * 3)
10 + -6y = 4 + (-6 + 12y)

Combine like terms: 4 + -6 = -2
10 + -6y = -2 + 12y

Solving
10 + -6y = -2 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
10 + -6y + -12y = -2 + 12y + -12y

Combine like terms: -6y + -12y = -18y
10 + -18y = -2 + 12y + -12y

Combine like terms: 12y + -12y = 0
10 + -18y = -2 + 0
10 + -18y = -2

Add '-10' to each side of the equation.
10 + -10 + -18y = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -18y = -2 + -10
-18y = -2 + -10

Combine like terms: -2 + -10 = -12
-18y = -12

Divide each side by '-18'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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