10y-4=7y+8

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


Simplifying
10y + -4 = 7y + 8

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

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

Solving
-4 + 10y = 8 + 7y

Solving for variable 'y'.

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

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

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

Combine like terms: 7y + -7y = 0
-4 + 3y = 8 + 0
-4 + 3y = 8

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

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

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

Divide each side by '3'.
y = 4

Simplifying
y = 4

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