4y-13+y+1=3x-5+15-x

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Solution for 4y-13+y+1=3x-5+15-x equation:


Simplifying
4y + -13 + y + 1 = 3x + -5 + 15 + -1x

Reorder the terms:
-13 + 1 + 4y + y = 3x + -5 + 15 + -1x

Combine like terms: -13 + 1 = -12
-12 + 4y + y = 3x + -5 + 15 + -1x

Combine like terms: 4y + y = 5y
-12 + 5y = 3x + -5 + 15 + -1x

Reorder the terms:
-12 + 5y = -5 + 15 + 3x + -1x

Combine like terms: -5 + 15 = 10
-12 + 5y = 10 + 3x + -1x

Combine like terms: 3x + -1x = 2x
-12 + 5y = 10 + 2x

Solving
-12 + 5y = 10 + 2x

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 = 10 + 12 + 2x

Combine like terms: -12 + 12 = 0
0 + 5y = 10 + 12 + 2x
5y = 10 + 12 + 2x

Combine like terms: 10 + 12 = 22
5y = 22 + 2x

Divide each side by '5'.
y = 4.4 + 0.4x

Simplifying
y = 4.4 + 0.4x

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