-3(y-2y)+5=-3(5y-y)+2+14y

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Solution for -3(y-2y)+5=-3(5y-y)+2+14y equation:


Simplifying
-3(y + -2y) + 5 = -3(5y + -1y) + 2 + 14y

Combine like terms: y + -2y = -1y
-3(-1y) + 5 = -3(5y + -1y) + 2 + 14y

Remove parenthesis around (-1y)
-3 * -1y + 5 = -3(5y + -1y) + 2 + 14y

Multiply -3 * -1
3y + 5 = -3(5y + -1y) + 2 + 14y

Reorder the terms:
5 + 3y = -3(5y + -1y) + 2 + 14y

Combine like terms: 5y + -1y = 4y
5 + 3y = -3(4y) + 2 + 14y

Remove parenthesis around (4y)
5 + 3y = -3 * 4y + 2 + 14y

Multiply -3 * 4
5 + 3y = -12y + 2 + 14y

Reorder the terms:
5 + 3y = 2 + -12y + 14y

Combine like terms: -12y + 14y = 2y
5 + 3y = 2 + 2y

Solving
5 + 3y = 2 + 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.
5 + 3y + -2y = 2 + 2y + -2y

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

Combine like terms: 2y + -2y = 0
5 + 1y = 2 + 0
5 + 1y = 2

Add '-5' to each side of the equation.
5 + -5 + 1y = 2 + -5

Combine like terms: 5 + -5 = 0
0 + 1y = 2 + -5
1y = 2 + -5

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

Divide each side by '1'.
y = -3

Simplifying
y = -3

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