5y+15=7y-14

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Solution for 5y+15=7y-14 equation:


Simplifying
5y + 15 = 7y + -14

Reorder the terms:
15 + 5y = 7y + -14

Reorder the terms:
15 + 5y = -14 + 7y

Solving
15 + 5y = -14 + 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 + 5y + -7y = -14 + 7y + -7y

Combine like terms: 5y + -7y = -2y
15 + -2y = -14 + 7y + -7y

Combine like terms: 7y + -7y = 0
15 + -2y = -14 + 0
15 + -2y = -14

Add '-15' to each side of the equation.
15 + -15 + -2y = -14 + -15

Combine like terms: 15 + -15 = 0
0 + -2y = -14 + -15
-2y = -14 + -15

Combine like terms: -14 + -15 = -29
-2y = -29

Divide each side by '-2'.
y = 14.5

Simplifying
y = 14.5

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