3y-13=-2y+7

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


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

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

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

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

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-13 + 3y + 2y = 7 + -2y + 2y

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

Combine like terms: -2y + 2y = 0
-13 + 5y = 7 + 0
-13 + 5y = 7

Add '13' to each side of the equation.
-13 + 13 + 5y = 7 + 13

Combine like terms: -13 + 13 = 0
0 + 5y = 7 + 13
5y = 7 + 13

Combine like terms: 7 + 13 = 20
5y = 20

Divide each side by '5'.
y = 4

Simplifying
y = 4

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