3(4-x)+5y=4-2(x+1)-x

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Solution for 3(4-x)+5y=4-2(x+1)-x equation: 


Simplifying
3(4 + -1x) + 5y = 4 + -2(x + 1) + -1x
(4 * 3 + -1x * 3) + 5y = 4 + -2(x + 1) + -1x
(12 + -3x) + 5y = 4 + -2(x + 1) + -1x

Reorder the terms:
12 + -3x + 5y = 4 + -2(1 + x) + -1x
12 + -3x + 5y = 4 + (1 * -2 + x * -2) + -1x
12 + -3x + 5y = 4 + (-2 + -2x) + -1x

Combine like terms: 4 + -2 = 2
12 + -3x + 5y = 2 + -2x + -1x

Combine like terms: -2x + -1x = -3x
12 + -3x + 5y = 2 + -3x

Add '3x' to each side of the equation.
12 + -3x + 3x + 5y = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 0 + 5y = 2 + -3x + 3x
12 + 5y = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 5y = 2 + 0
12 + 5y = 2

Solving
12 + 5y = 2

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + 5y = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 5y = 2 + -12
5y = 2 + -12

Combine like terms: 2 + -12 = -10
5y = -10

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

Simplifying
y = -2

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