-10(-y+9)=-7(2y+6)-3

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Solution for -10(-y+9)=-7(2y+6)-3 equation: 


Simplifying
-10(-1y + 9) = -7(2y + 6) + -3

Reorder the terms:
-10(9 + -1y) = -7(2y + 6) + -3
(9 * -10 + -1y * -10) = -7(2y + 6) + -3
(-90 + 10y) = -7(2y + 6) + -3

Reorder the terms:
-90 + 10y = -7(6 + 2y) + -3
-90 + 10y = (6 * -7 + 2y * -7) + -3
-90 + 10y = (-42 + -14y) + -3

Reorder the terms:
-90 + 10y = -42 + -3 + -14y

Combine like terms: -42 + -3 = -45
-90 + 10y = -45 + -14y

Solving
-90 + 10y = -45 + -14y

Solving for variable 'y'.

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

Add '14y' to each side of the equation.
-90 + 10y + 14y = -45 + -14y + 14y

Combine like terms: 10y + 14y = 24y
-90 + 24y = -45 + -14y + 14y

Combine like terms: -14y + 14y = 0
-90 + 24y = -45 + 0
-90 + 24y = -45

Add '90' to each side of the equation.
-90 + 90 + 24y = -45 + 90

Combine like terms: -90 + 90 = 0
0 + 24y = -45 + 90
24y = -45 + 90

Combine like terms: -45 + 90 = 45
24y = 45

Divide each side by '24'.
y = 1.875

Simplifying
y = 1.875

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