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

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


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

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

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

Reorder the terms:
3 + -5 + 3y + -1y = 4y + -6

Combine like terms: 3 + -5 = -2
-2 + 3y + -1y = 4y + -6

Combine like terms: 3y + -1y = 2y
-2 + 2y = 4y + -6

Reorder the terms:
-2 + 2y = -6 + 4y

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

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-2 + 2y + -4y = -6 + 4y + -4y

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

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

Add '2' to each side of the equation.
-2 + 2 + -2y = -6 + 2

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

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

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

Simplifying
y = 2

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