-4(y-9)=-10(2-y)

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Solution for -4(y-9)=-10(2-y) equation: 


Simplifying
-4(y + -9) = -10(2 + -1y)

Reorder the terms:
-4(-9 + y) = -10(2 + -1y)
(-9 * -4 + y * -4) = -10(2 + -1y)
(36 + -4y) = -10(2 + -1y)
36 + -4y = (2 * -10 + -1y * -10)
36 + -4y = (-20 + 10y)

Solving
36 + -4y = -20 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
36 + -4y + -10y = -20 + 10y + -10y

Combine like terms: -4y + -10y = -14y
36 + -14y = -20 + 10y + -10y

Combine like terms: 10y + -10y = 0
36 + -14y = -20 + 0
36 + -14y = -20

Add '-36' to each side of the equation.
36 + -36 + -14y = -20 + -36

Combine like terms: 36 + -36 = 0
0 + -14y = -20 + -36
-14y = -20 + -36

Combine like terms: -20 + -36 = -56
-14y = -56

Divide each side by '-14'.
y = 4

Simplifying
y = 4

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