-3(y-3y)+5=-4(3y-y)+6+13y

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Solution for -3(y-3y)+5=-4(3y-y)+6+13y equation:


Simplifying
-3(y + -3y) + 5 = -4(3y + -1y) + 6 + 13y

Combine like terms: y + -3y = -2y
-3(-2y) + 5 = -4(3y + -1y) + 6 + 13y

Remove parenthesis around (-2y)
-3 * -2y + 5 = -4(3y + -1y) + 6 + 13y

Multiply -3 * -2
6y + 5 = -4(3y + -1y) + 6 + 13y

Reorder the terms:
5 + 6y = -4(3y + -1y) + 6 + 13y

Combine like terms: 3y + -1y = 2y
5 + 6y = -4(2y) + 6 + 13y

Remove parenthesis around (2y)
5 + 6y = -4 * 2y + 6 + 13y

Multiply -4 * 2
5 + 6y = -8y + 6 + 13y

Reorder the terms:
5 + 6y = 6 + -8y + 13y

Combine like terms: -8y + 13y = 5y
5 + 6y = 6 + 5y

Solving
5 + 6y = 6 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
5 + 6y + -5y = 6 + 5y + -5y

Combine like terms: 6y + -5y = 1y
5 + 1y = 6 + 5y + -5y

Combine like terms: 5y + -5y = 0
5 + 1y = 6 + 0
5 + 1y = 6

Add '-5' to each side of the equation.
5 + -5 + 1y = 6 + -5

Combine like terms: 5 + -5 = 0
0 + 1y = 6 + -5
1y = 6 + -5

Combine like terms: 6 + -5 = 1
1y = 1

Divide each side by '1'.
y = 1

Simplifying
y = 1

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