6y+15=7y-28

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Solution for 6y+15=7y-28 equation:


Simplifying
6y + 15 = 7y + -28

Reorder the terms:
15 + 6y = 7y + -28

Reorder the terms:
15 + 6y = -28 + 7y

Solving
15 + 6y = -28 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
15 + 6y + -7y = -28 + 7y + -7y

Combine like terms: 6y + -7y = -1y
15 + -1y = -28 + 7y + -7y

Combine like terms: 7y + -7y = 0
15 + -1y = -28 + 0
15 + -1y = -28

Add '-15' to each side of the equation.
15 + -15 + -1y = -28 + -15

Combine like terms: 15 + -15 = 0
0 + -1y = -28 + -15
-1y = -28 + -15

Combine like terms: -28 + -15 = -43
-1y = -43

Divide each side by '-1'.
y = 43

Simplifying
y = 43

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