-6(2y-1)+2y=7+2(4y-2)

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Solution for -6(2y-1)+2y=7+2(4y-2) equation:


Simplifying
-6(2y + -1) + 2y = 7 + 2(4y + -2)

Reorder the terms:
-6(-1 + 2y) + 2y = 7 + 2(4y + -2)
(-1 * -6 + 2y * -6) + 2y = 7 + 2(4y + -2)
(6 + -12y) + 2y = 7 + 2(4y + -2)

Combine like terms: -12y + 2y = -10y
6 + -10y = 7 + 2(4y + -2)

Reorder the terms:
6 + -10y = 7 + 2(-2 + 4y)
6 + -10y = 7 + (-2 * 2 + 4y * 2)
6 + -10y = 7 + (-4 + 8y)

Combine like terms: 7 + -4 = 3
6 + -10y = 3 + 8y

Solving
6 + -10y = 3 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
6 + -10y + -8y = 3 + 8y + -8y

Combine like terms: -10y + -8y = -18y
6 + -18y = 3 + 8y + -8y

Combine like terms: 8y + -8y = 0
6 + -18y = 3 + 0
6 + -18y = 3

Add '-6' to each side of the equation.
6 + -6 + -18y = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -18y = 3 + -6
-18y = 3 + -6

Combine like terms: 3 + -6 = -3
-18y = -3

Divide each side by '-18'.
y = 0.1666666667

Simplifying
y = 0.1666666667

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