-4y-3(2y+4)=-8-9(2-y)

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Solution for -4y-3(2y+4)=-8-9(2-y) equation:


Simplifying
-4y + -3(2y + 4) = -8 + -9(2 + -1y)

Reorder the terms:
-4y + -3(4 + 2y) = -8 + -9(2 + -1y)
-4y + (4 * -3 + 2y * -3) = -8 + -9(2 + -1y)
-4y + (-12 + -6y) = -8 + -9(2 + -1y)

Reorder the terms:
-12 + -4y + -6y = -8 + -9(2 + -1y)

Combine like terms: -4y + -6y = -10y
-12 + -10y = -8 + -9(2 + -1y)
-12 + -10y = -8 + (2 * -9 + -1y * -9)
-12 + -10y = -8 + (-18 + 9y)

Combine like terms: -8 + -18 = -26
-12 + -10y = -26 + 9y

Solving
-12 + -10y = -26 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-12 + -10y + -9y = -26 + 9y + -9y

Combine like terms: -10y + -9y = -19y
-12 + -19y = -26 + 9y + -9y

Combine like terms: 9y + -9y = 0
-12 + -19y = -26 + 0
-12 + -19y = -26

Add '12' to each side of the equation.
-12 + 12 + -19y = -26 + 12

Combine like terms: -12 + 12 = 0
0 + -19y = -26 + 12
-19y = -26 + 12

Combine like terms: -26 + 12 = -14
-19y = -14

Divide each side by '-19'.
y = 0.7368421053

Simplifying
y = 0.7368421053

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