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

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Solution for 3(y+6)-5(y-1)=4-y equation: 


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

Reorder the terms:
3(6 + y) + -5(y + -1) = 4 + -1y
(6 * 3 + y * 3) + -5(y + -1) = 4 + -1y
(18 + 3y) + -5(y + -1) = 4 + -1y

Reorder the terms:
18 + 3y + -5(-1 + y) = 4 + -1y
18 + 3y + (-1 * -5 + y * -5) = 4 + -1y
18 + 3y + (5 + -5y) = 4 + -1y

Reorder the terms:
18 + 5 + 3y + -5y = 4 + -1y

Combine like terms: 18 + 5 = 23
23 + 3y + -5y = 4 + -1y

Combine like terms: 3y + -5y = -2y
23 + -2y = 4 + -1y

Solving
23 + -2y = 4 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
23 + -2y + y = 4 + -1y + y

Combine like terms: -2y + y = -1y
23 + -1y = 4 + -1y + y

Combine like terms: -1y + y = 0
23 + -1y = 4 + 0
23 + -1y = 4

Add '-23' to each side of the equation.
23 + -23 + -1y = 4 + -23

Combine like terms: 23 + -23 = 0
0 + -1y = 4 + -23
-1y = 4 + -23

Combine like terms: 4 + -23 = -19
-1y = -19

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

Simplifying
y = 19

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