49+3y-20=13y-13-4y

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Solution for 49+3y-20=13y-13-4y equation:


Simplifying
49 + 3y + -20 = 13y + -13 + -4y

Reorder the terms:
49 + -20 + 3y = 13y + -13 + -4y

Combine like terms: 49 + -20 = 29
29 + 3y = 13y + -13 + -4y

Reorder the terms:
29 + 3y = -13 + 13y + -4y

Combine like terms: 13y + -4y = 9y
29 + 3y = -13 + 9y

Solving
29 + 3y = -13 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
29 + 3y + -9y = -13 + 9y + -9y

Combine like terms: 3y + -9y = -6y
29 + -6y = -13 + 9y + -9y

Combine like terms: 9y + -9y = 0
29 + -6y = -13 + 0
29 + -6y = -13

Add '-29' to each side of the equation.
29 + -29 + -6y = -13 + -29

Combine like terms: 29 + -29 = 0
0 + -6y = -13 + -29
-6y = -13 + -29

Combine like terms: -13 + -29 = -42
-6y = -42

Divide each side by '-6'.
y = 7

Simplifying
y = 7

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