7y+8=10y-4

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Solution for 7y+8=10y-4 equation:


Simplifying
7y + 8 = 10y + -4

Reorder the terms:
8 + 7y = 10y + -4

Reorder the terms:
8 + 7y = -4 + 10y

Solving
8 + 7y = -4 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
8 + 7y + -10y = -4 + 10y + -10y

Combine like terms: 7y + -10y = -3y
8 + -3y = -4 + 10y + -10y

Combine like terms: 10y + -10y = 0
8 + -3y = -4 + 0
8 + -3y = -4

Add '-8' to each side of the equation.
8 + -8 + -3y = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -3y = -4 + -8
-3y = -4 + -8

Combine like terms: -4 + -8 = -12
-3y = -12

Divide each side by '-3'.
y = 4

Simplifying
y = 4

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