4(y+2)=5(y-1)-6

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Solution for 4(y+2)=5(y-1)-6 equation: 


Simplifying
4(y + 2) = 5(y + -1) + -6

Reorder the terms:
4(2 + y) = 5(y + -1) + -6
(2 * 4 + y * 4) = 5(y + -1) + -6
(8 + 4y) = 5(y + -1) + -6

Reorder the terms:
8 + 4y = 5(-1 + y) + -6
8 + 4y = (-1 * 5 + y * 5) + -6
8 + 4y = (-5 + 5y) + -6

Reorder the terms:
8 + 4y = -5 + -6 + 5y

Combine like terms: -5 + -6 = -11
8 + 4y = -11 + 5y

Solving
8 + 4y = -11 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
8 + 4y + -5y = -11 + 5y + -5y

Combine like terms: 4y + -5y = -1y
8 + -1y = -11 + 5y + -5y

Combine like terms: 5y + -5y = 0
8 + -1y = -11 + 0
8 + -1y = -11

Add '-8' to each side of the equation.
8 + -8 + -1y = -11 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = -11 + -8
-1y = -11 + -8

Combine like terms: -11 + -8 = -19
-1y = -19

Divide each side by '-1'.
y = 19

Simplifying
y = 19

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