-2(y-3y)+5=-5(2y-y)+48y

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Solution for -2(y-3y)+5=-5(2y-y)+48y equation:


Simplifying
-2(y + -3y) + 5 = -5(2y + -1y) + 48y

Combine like terms: y + -3y = -2y
-2(-2y) + 5 = -5(2y + -1y) + 48y

Remove parenthesis around (-2y)
-2 * -2y + 5 = -5(2y + -1y) + 48y

Multiply -2 * -2
4y + 5 = -5(2y + -1y) + 48y

Reorder the terms:
5 + 4y = -5(2y + -1y) + 48y

Combine like terms: 2y + -1y = 1y
5 + 4y = -5(1y) + 48y

Remove parenthesis around (1y)
5 + 4y = -5 * 1y + 48y

Multiply -5 * 1
5 + 4y = -5y + 48y

Combine like terms: -5y + 48y = 43y
5 + 4y = 43y

Solving
5 + 4y = 43y

Solving for variable 'y'.

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

Add '-43y' to each side of the equation.
5 + 4y + -43y = 43y + -43y

Combine like terms: 4y + -43y = -39y
5 + -39y = 43y + -43y

Combine like terms: 43y + -43y = 0
5 + -39y = 0

Add '-5' to each side of the equation.
5 + -5 + -39y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -39y = 0 + -5
-39y = 0 + -5

Combine like terms: 0 + -5 = -5
-39y = -5

Divide each side by '-39'.
y = 0.1282051282

Simplifying
y = 0.1282051282

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