7-(3y-8)=2-4y

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Solution for 7-(3y-8)=2-4y equation: 


Simplifying
7 + -1(3y + -8) = 2 + -4y

Reorder the terms:
7 + -1(-8 + 3y) = 2 + -4y
7 + (-8 * -1 + 3y * -1) = 2 + -4y
7 + (8 + -3y) = 2 + -4y

Combine like terms: 7 + 8 = 15
15 + -3y = 2 + -4y

Solving
15 + -3y = 2 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
15 + -3y + 4y = 2 + -4y + 4y

Combine like terms: -3y + 4y = 1y
15 + 1y = 2 + -4y + 4y

Combine like terms: -4y + 4y = 0
15 + 1y = 2 + 0
15 + 1y = 2

Add '-15' to each side of the equation.
15 + -15 + 1y = 2 + -15

Combine like terms: 15 + -15 = 0
0 + 1y = 2 + -15
1y = 2 + -15

Combine like terms: 2 + -15 = -13
1y = -13

Divide each side by '1'.
y = -13

Simplifying
y = -13

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