5y+10=8y-50

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Solution for 5y+10=8y-50 equation:


Simplifying
5y + 10 = 8y + -50

Reorder the terms:
10 + 5y = 8y + -50

Reorder the terms:
10 + 5y = -50 + 8y

Solving
10 + 5y = -50 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
10 + 5y + -8y = -50 + 8y + -8y

Combine like terms: 5y + -8y = -3y
10 + -3y = -50 + 8y + -8y

Combine like terms: 8y + -8y = 0
10 + -3y = -50 + 0
10 + -3y = -50

Add '-10' to each side of the equation.
10 + -10 + -3y = -50 + -10

Combine like terms: 10 + -10 = 0
0 + -3y = -50 + -10
-3y = -50 + -10

Combine like terms: -50 + -10 = -60
-3y = -60

Divide each side by '-3'.
y = 20

Simplifying
y = 20

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