5y+1=7y-8

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Solution for 5y+1=7y-8 equation:


Simplifying
5y + 1 = 7y + -8

Reorder the terms:
1 + 5y = 7y + -8

Reorder the terms:
1 + 5y = -8 + 7y

Solving
1 + 5y = -8 + 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.
1 + 5y + -7y = -8 + 7y + -7y

Combine like terms: 5y + -7y = -2y
1 + -2y = -8 + 7y + -7y

Combine like terms: 7y + -7y = 0
1 + -2y = -8 + 0
1 + -2y = -8

Add '-1' to each side of the equation.
1 + -1 + -2y = -8 + -1

Combine like terms: 1 + -1 = 0
0 + -2y = -8 + -1
-2y = -8 + -1

Combine like terms: -8 + -1 = -9
-2y = -9

Divide each side by '-2'.
y = 4.5

Simplifying
y = 4.5

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