-5(y-3y)+9=3(2y-y)+1+12y

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Solution for -5(y-3y)+9=3(2y-y)+1+12y equation:


Simplifying
-5(y + -3y) + 9 = 3(2y + -1y) + 1 + 12y

Combine like terms: y + -3y = -2y
-5(-2y) + 9 = 3(2y + -1y) + 1 + 12y

Remove parenthesis around (-2y)
-5 * -2y + 9 = 3(2y + -1y) + 1 + 12y

Multiply -5 * -2
10y + 9 = 3(2y + -1y) + 1 + 12y

Reorder the terms:
9 + 10y = 3(2y + -1y) + 1 + 12y

Combine like terms: 2y + -1y = 1y
9 + 10y = 3(1y) + 1 + 12y

Remove parenthesis around (1y)
9 + 10y = 3 * 1y + 1 + 12y

Multiply 3 * 1
9 + 10y = 3y + 1 + 12y

Reorder the terms:
9 + 10y = 1 + 3y + 12y

Combine like terms: 3y + 12y = 15y
9 + 10y = 1 + 15y

Solving
9 + 10y = 1 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
9 + 10y + -15y = 1 + 15y + -15y

Combine like terms: 10y + -15y = -5y
9 + -5y = 1 + 15y + -15y

Combine like terms: 15y + -15y = 0
9 + -5y = 1 + 0
9 + -5y = 1

Add '-9' to each side of the equation.
9 + -9 + -5y = 1 + -9

Combine like terms: 9 + -9 = 0
0 + -5y = 1 + -9
-5y = 1 + -9

Combine like terms: 1 + -9 = -8
-5y = -8

Divide each side by '-5'.
y = 1.6

Simplifying
y = 1.6

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