2-7y+5=3y+13-7y

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Solution for 2-7y+5=3y+13-7y equation:


Simplifying
2 + -7y + 5 = 3y + 13 + -7y

Reorder the terms:
2 + 5 + -7y = 3y + 13 + -7y

Combine like terms: 2 + 5 = 7
7 + -7y = 3y + 13 + -7y

Reorder the terms:
7 + -7y = 13 + 3y + -7y

Combine like terms: 3y + -7y = -4y
7 + -7y = 13 + -4y

Solving
7 + -7y = 13 + -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.
7 + -7y + 4y = 13 + -4y + 4y

Combine like terms: -7y + 4y = -3y
7 + -3y = 13 + -4y + 4y

Combine like terms: -4y + 4y = 0
7 + -3y = 13 + 0
7 + -3y = 13

Add '-7' to each side of the equation.
7 + -7 + -3y = 13 + -7

Combine like terms: 7 + -7 = 0
0 + -3y = 13 + -7
-3y = 13 + -7

Combine like terms: 13 + -7 = 6
-3y = 6

Divide each side by '-3'.
y = -2

Simplifying
y = -2

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