-9(y-5)=2y-4

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Solution for -9(y-5)=2y-4 equation:


Simplifying
-9(y + -5) = 2y + -4

Reorder the terms:
-9(-5 + y) = 2y + -4
(-5 * -9 + y * -9) = 2y + -4
(45 + -9y) = 2y + -4

Reorder the terms:
45 + -9y = -4 + 2y

Solving
45 + -9y = -4 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
45 + -9y + -2y = -4 + 2y + -2y

Combine like terms: -9y + -2y = -11y
45 + -11y = -4 + 2y + -2y

Combine like terms: 2y + -2y = 0
45 + -11y = -4 + 0
45 + -11y = -4

Add '-45' to each side of the equation.
45 + -45 + -11y = -4 + -45

Combine like terms: 45 + -45 = 0
0 + -11y = -4 + -45
-11y = -4 + -45

Combine like terms: -4 + -45 = -49
-11y = -49

Divide each side by '-11'.
y = 4.454545455

Simplifying
y = 4.454545455

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