-3(y-3y)+4=-3(5y-y)+3+17y

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Solution for -3(y-3y)+4=-3(5y-y)+3+17y equation:


Simplifying
-3(y + -3y) + 4 = -3(5y + -1y) + 3 + 17y

Combine like terms: y + -3y = -2y
-3(-2y) + 4 = -3(5y + -1y) + 3 + 17y

Remove parenthesis around (-2y)
-3 * -2y + 4 = -3(5y + -1y) + 3 + 17y

Multiply -3 * -2
6y + 4 = -3(5y + -1y) + 3 + 17y

Reorder the terms:
4 + 6y = -3(5y + -1y) + 3 + 17y

Combine like terms: 5y + -1y = 4y
4 + 6y = -3(4y) + 3 + 17y

Remove parenthesis around (4y)
4 + 6y = -3 * 4y + 3 + 17y

Multiply -3 * 4
4 + 6y = -12y + 3 + 17y

Reorder the terms:
4 + 6y = 3 + -12y + 17y

Combine like terms: -12y + 17y = 5y
4 + 6y = 3 + 5y

Solving
4 + 6y = 3 + 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.
4 + 6y + -5y = 3 + 5y + -5y

Combine like terms: 6y + -5y = 1y
4 + 1y = 3 + 5y + -5y

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

Add '-4' to each side of the equation.
4 + -4 + 1y = 3 + -4

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

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

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

Simplifying
y = -1

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