7y+21=5y+8

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Solution for 7y+21=5y+8 equation: 


Simplifying
7y + 21 = 5y + 8

Reorder the terms:
21 + 7y = 5y + 8

Reorder the terms:
21 + 7y = 8 + 5y

Solving
21 + 7y = 8 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
21 + 7y + -5y = 8 + 5y + -5y

Combine like terms: 7y + -5y = 2y
21 + 2y = 8 + 5y + -5y

Combine like terms: 5y + -5y = 0
21 + 2y = 8 + 0
21 + 2y = 8

Add '-21' to each side of the equation.
21 + -21 + 2y = 8 + -21

Combine like terms: 21 + -21 = 0
0 + 2y = 8 + -21
2y = 8 + -21

Combine like terms: 8 + -21 = -13
2y = -13

Divide each side by '2'.
y = -6.5

Simplifying
y = -6.5

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