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

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


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

Reorder the terms:
-3y + -2(3 + -9y) = 3 + -5(-2 + -1y)
-3y + (3 * -2 + -9y * -2) = 3 + -5(-2 + -1y)
-3y + (-6 + 18y) = 3 + -5(-2 + -1y)

Reorder the terms:
-6 + -3y + 18y = 3 + -5(-2 + -1y)

Combine like terms: -3y + 18y = 15y
-6 + 15y = 3 + -5(-2 + -1y)
-6 + 15y = 3 + (-2 * -5 + -1y * -5)
-6 + 15y = 3 + (10 + 5y)

Combine like terms: 3 + 10 = 13
-6 + 15y = 13 + 5y

Solving
-6 + 15y = 13 + 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.
-6 + 15y + -5y = 13 + 5y + -5y

Combine like terms: 15y + -5y = 10y
-6 + 10y = 13 + 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + 10y = 13 + 0
-6 + 10y = 13

Add '6' to each side of the equation.
-6 + 6 + 10y = 13 + 6

Combine like terms: -6 + 6 = 0
0 + 10y = 13 + 6
10y = 13 + 6

Combine like terms: 13 + 6 = 19
10y = 19

Divide each side by '10'.
y = 1.9

Simplifying
y = 1.9

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