-2(y-3y)+5=-5(2y-y)+4+8y

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Solution for -2(y-3y)+5=-5(2y-y)+4+8y equation:


Simplifying
-2(y + -3y) + 5 = -5(2y + -1y) + 4 + 8y

Combine like terms: y + -3y = -2y
-2(-2y) + 5 = -5(2y + -1y) + 4 + 8y

Remove parenthesis around (-2y)
-2 * -2y + 5 = -5(2y + -1y) + 4 + 8y

Multiply -2 * -2
4y + 5 = -5(2y + -1y) + 4 + 8y

Reorder the terms:
5 + 4y = -5(2y + -1y) + 4 + 8y

Combine like terms: 2y + -1y = 1y
5 + 4y = -5(1y) + 4 + 8y

Remove parenthesis around (1y)
5 + 4y = -5 * 1y + 4 + 8y

Multiply -5 * 1
5 + 4y = -5y + 4 + 8y

Reorder the terms:
5 + 4y = 4 + -5y + 8y

Combine like terms: -5y + 8y = 3y
5 + 4y = 4 + 3y

Solving
5 + 4y = 4 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
5 + 4y + -3y = 4 + 3y + -3y

Combine like terms: 4y + -3y = 1y
5 + 1y = 4 + 3y + -3y

Combine like terms: 3y + -3y = 0
5 + 1y = 4 + 0
5 + 1y = 4

Add '-5' to each side of the equation.
5 + -5 + 1y = 4 + -5

Combine like terms: 5 + -5 = 0
0 + 1y = 4 + -5
1y = 4 + -5

Combine like terms: 4 + -5 = -1
1y = -1

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

Simplifying
y = -1

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