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

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


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

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

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

Combine like terms: -8y + 6y = -2y
7 + 7y = 4 + -2y

Solving
7 + 7y = 4 + -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.
7 + 7y + 2y = 4 + -2y + 2y

Combine like terms: 7y + 2y = 9y
7 + 9y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
7 + 9y = 4 + 0
7 + 9y = 4

Add '-7' to each side of the equation.
7 + -7 + 9y = 4 + -7

Combine like terms: 7 + -7 = 0
0 + 9y = 4 + -7
9y = 4 + -7

Combine like terms: 4 + -7 = -3
9y = -3

Divide each side by '9'.
y = -0.3333333333

Simplifying
y = -0.3333333333

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