3(y+4)+2(y-2)=4y-5

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Solution for 3(y+4)+2(y-2)=4y-5 equation:


Simplifying
3(y + 4) + 2(y + -2) = 4y + -5

Reorder the terms:
3(4 + y) + 2(y + -2) = 4y + -5
(4 * 3 + y * 3) + 2(y + -2) = 4y + -5
(12 + 3y) + 2(y + -2) = 4y + -5

Reorder the terms:
12 + 3y + 2(-2 + y) = 4y + -5
12 + 3y + (-2 * 2 + y * 2) = 4y + -5
12 + 3y + (-4 + 2y) = 4y + -5

Reorder the terms:
12 + -4 + 3y + 2y = 4y + -5

Combine like terms: 12 + -4 = 8
8 + 3y + 2y = 4y + -5

Combine like terms: 3y + 2y = 5y
8 + 5y = 4y + -5

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

Solving
8 + 5y = -5 + 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.
8 + 5y + -4y = -5 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
8 + 1y = -5 + 0
8 + 1y = -5

Add '-8' to each side of the equation.
8 + -8 + 1y = -5 + -8

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

Combine like terms: -5 + -8 = -13
1y = -13

Divide each side by '1'.
y = -13

Simplifying
y = -13

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