-4(y-1)=-9(y-2)-5

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Solution for -4(y-1)=-9(y-2)-5 equation:


Simplifying
-4(y + -1) = -9(y + -2) + -5

Reorder the terms:
-4(-1 + y) = -9(y + -2) + -5
(-1 * -4 + y * -4) = -9(y + -2) + -5
(4 + -4y) = -9(y + -2) + -5

Reorder the terms:
4 + -4y = -9(-2 + y) + -5
4 + -4y = (-2 * -9 + y * -9) + -5
4 + -4y = (18 + -9y) + -5

Reorder the terms:
4 + -4y = 18 + -5 + -9y

Combine like terms: 18 + -5 = 13
4 + -4y = 13 + -9y

Solving
4 + -4y = 13 + -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.
4 + -4y + 9y = 13 + -9y + 9y

Combine like terms: -4y + 9y = 5y
4 + 5y = 13 + -9y + 9y

Combine like terms: -9y + 9y = 0
4 + 5y = 13 + 0
4 + 5y = 13

Add '-4' to each side of the equation.
4 + -4 + 5y = 13 + -4

Combine like terms: 4 + -4 = 0
0 + 5y = 13 + -4
5y = 13 + -4

Combine like terms: 13 + -4 = 9
5y = 9

Divide each side by '5'.
y = 1.8

Simplifying
y = 1.8

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