5y+10=7y+8

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Solution for 5y+10=7y+8 equation:


Simplifying
5y + 10 = 7y + 8

Reorder the terms:
10 + 5y = 7y + 8

Reorder the terms:
10 + 5y = 8 + 7y

Solving
10 + 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.
10 + 5y + -7y = 8 + 7y + -7y

Combine like terms: 5y + -7y = -2y
10 + -2y = 8 + 7y + -7y

Combine like terms: 7y + -7y = 0
10 + -2y = 8 + 0
10 + -2y = 8

Add '-10' to each side of the equation.
10 + -10 + -2y = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -2y = 8 + -10
-2y = 8 + -10

Combine like terms: 8 + -10 = -2
-2y = -2

Divide each side by '-2'.
y = 1

Simplifying
y = 1

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