4y-6-2y=-2(y-7)

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Solution for 4y-6-2y=-2(y-7) equation:


Simplifying
4y + -6 + -2y = -2(y + -7)

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

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

Reorder the terms:
-6 + 2y = -2(-7 + y)
-6 + 2y = (-7 * -2 + y * -2)
-6 + 2y = (14 + -2y)

Solving
-6 + 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.
-6 + 2y + 2y = 14 + -2y + 2y

Combine like terms: 2y + 2y = 4y
-6 + 4y = 14 + -2y + 2y

Combine like terms: -2y + 2y = 0
-6 + 4y = 14 + 0
-6 + 4y = 14

Add '6' to each side of the equation.
-6 + 6 + 4y = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 4y = 14 + 6
4y = 14 + 6

Combine like terms: 14 + 6 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5

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