10y-4=3y+52

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Solution for 10y-4=3y+52 equation:


Simplifying
10y + -4 = 3y + 52

Reorder the terms:
-4 + 10y = 3y + 52

Reorder the terms:
-4 + 10y = 52 + 3y

Solving
-4 + 10y = 52 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-4 + 10y + -3y = 52 + 3y + -3y

Combine like terms: 10y + -3y = 7y
-4 + 7y = 52 + 3y + -3y

Combine like terms: 3y + -3y = 0
-4 + 7y = 52 + 0
-4 + 7y = 52

Add '4' to each side of the equation.
-4 + 4 + 7y = 52 + 4

Combine like terms: -4 + 4 = 0
0 + 7y = 52 + 4
7y = 52 + 4

Combine like terms: 52 + 4 = 56
7y = 56

Divide each side by '7'.
y = 8

Simplifying
y = 8

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