5y+10=6y-30

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Solution for 5y+10=6y-30 equation:


Simplifying
5y + 10 = 6y + -30

Reorder the terms:
10 + 5y = 6y + -30

Reorder the terms:
10 + 5y = -30 + 6y

Solving
10 + 5y = -30 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
10 + 5y + -6y = -30 + 6y + -6y

Combine like terms: 5y + -6y = -1y
10 + -1y = -30 + 6y + -6y

Combine like terms: 6y + -6y = 0
10 + -1y = -30 + 0
10 + -1y = -30

Add '-10' to each side of the equation.
10 + -10 + -1y = -30 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = -30 + -10
-1y = -30 + -10

Combine like terms: -30 + -10 = -40
-1y = -40

Divide each side by '-1'.
y = 40

Simplifying
y = 40

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