-2(3y-2)+4y=2(y+7)

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Solution for -2(3y-2)+4y=2(y+7) equation:


Simplifying
-2(3y + -2) + 4y = 2(y + 7)

Reorder the terms:
-2(-2 + 3y) + 4y = 2(y + 7)
(-2 * -2 + 3y * -2) + 4y = 2(y + 7)
(4 + -6y) + 4y = 2(y + 7)

Combine like terms: -6y + 4y = -2y
4 + -2y = 2(y + 7)

Reorder the terms:
4 + -2y = 2(7 + y)
4 + -2y = (7 * 2 + y * 2)
4 + -2y = (14 + 2y)

Solving
4 + -2y = 14 + 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.
4 + -2y + -2y = 14 + 2y + -2y

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

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

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

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

Combine like terms: 14 + -4 = 10
-4y = 10

Divide each side by '-4'.
y = -2.5

Simplifying
y = -2.5

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