10y-7=5y+48

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Solution for 10y-7=5y+48 equation: 


Simplifying
10y + -7 = 5y + 48

Reorder the terms:
-7 + 10y = 5y + 48

Reorder the terms:
-7 + 10y = 48 + 5y

Solving
-7 + 10y = 48 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-7 + 10y + -5y = 48 + 5y + -5y

Combine like terms: 10y + -5y = 5y
-7 + 5y = 48 + 5y + -5y

Combine like terms: 5y + -5y = 0
-7 + 5y = 48 + 0
-7 + 5y = 48

Add '7' to each side of the equation.
-7 + 7 + 5y = 48 + 7

Combine like terms: -7 + 7 = 0
0 + 5y = 48 + 7
5y = 48 + 7

Combine like terms: 48 + 7 = 55
5y = 55

Divide each side by '5'.
y = 11

Simplifying
y = 11

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