5y+10=4y-10

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Solution for 5y+10=4y-10 equation:


Simplifying
5y + 10 = 4y + -10

Reorder the terms:
10 + 5y = 4y + -10

Reorder the terms:
10 + 5y = -10 + 4y

Solving
10 + 5y = -10 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
10 + 5y + -4y = -10 + 4y + -4y

Combine like terms: 5y + -4y = 1y
10 + 1y = -10 + 4y + -4y

Combine like terms: 4y + -4y = 0
10 + 1y = -10 + 0
10 + 1y = -10

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

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

Combine like terms: -10 + -10 = -20
1y = -20

Divide each side by '1'.
y = -20

Simplifying
y = -20

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