1-3(y-1)=2(y+5)-16

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Solution for 1-3(y-1)=2(y+5)-16 equation: 


Simplifying
1 + -3(y + -1) = 2(y + 5) + -16

Reorder the terms:
1 + -3(-1 + y) = 2(y + 5) + -16
1 + (-1 * -3 + y * -3) = 2(y + 5) + -16
1 + (3 + -3y) = 2(y + 5) + -16

Combine like terms: 1 + 3 = 4
4 + -3y = 2(y + 5) + -16

Reorder the terms:
4 + -3y = 2(5 + y) + -16
4 + -3y = (5 * 2 + y * 2) + -16
4 + -3y = (10 + 2y) + -16

Reorder the terms:
4 + -3y = 10 + -16 + 2y

Combine like terms: 10 + -16 = -6
4 + -3y = -6 + 2y

Solving
4 + -3y = -6 + 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.
4 + -3y + -2y = -6 + 2y + -2y

Combine like terms: -3y + -2y = -5y
4 + -5y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
4 + -5y = -6 + 0
4 + -5y = -6

Add '-4' to each side of the equation.
4 + -4 + -5y = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -5y = -6 + -4
-5y = -6 + -4

Combine like terms: -6 + -4 = -10
-5y = -10

Divide each side by '-5'.
y = 2

Simplifying
y = 2

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