6+4(2y-2)=-2(4y-5)+7y

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Solution for 6+4(2y-2)=-2(4y-5)+7y equation:


Simplifying
6 + 4(2y + -2) = -2(4y + -5) + 7y

Reorder the terms:
6 + 4(-2 + 2y) = -2(4y + -5) + 7y
6 + (-2 * 4 + 2y * 4) = -2(4y + -5) + 7y
6 + (-8 + 8y) = -2(4y + -5) + 7y

Combine like terms: 6 + -8 = -2
-2 + 8y = -2(4y + -5) + 7y

Reorder the terms:
-2 + 8y = -2(-5 + 4y) + 7y
-2 + 8y = (-5 * -2 + 4y * -2) + 7y
-2 + 8y = (10 + -8y) + 7y

Combine like terms: -8y + 7y = -1y
-2 + 8y = 10 + -1y

Solving
-2 + 8y = 10 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-2 + 8y + y = 10 + -1y + y

Combine like terms: 8y + y = 9y
-2 + 9y = 10 + -1y + y

Combine like terms: -1y + y = 0
-2 + 9y = 10 + 0
-2 + 9y = 10

Add '2' to each side of the equation.
-2 + 2 + 9y = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 9y = 10 + 2
9y = 10 + 2

Combine like terms: 10 + 2 = 12
9y = 12

Divide each side by '9'.
y = 1.333333333

Simplifying
y = 1.333333333

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