y*5+103=y*10-7

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Solution for y*5+103=y*10-7 equation:


Simplifying
y * 5 + 103 = y * 10 + -7

Reorder the terms for easier multiplication:
5y + 103 = y * 10 + -7

Reorder the terms:
103 + 5y = y * 10 + -7

Reorder the terms for easier multiplication:
103 + 5y = 10y + -7

Reorder the terms:
103 + 5y = -7 + 10y

Solving
103 + 5y = -7 + 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.
103 + 5y + -10y = -7 + 10y + -10y

Combine like terms: 5y + -10y = -5y
103 + -5y = -7 + 10y + -10y

Combine like terms: 10y + -10y = 0
103 + -5y = -7 + 0
103 + -5y = -7

Add '-103' to each side of the equation.
103 + -103 + -5y = -7 + -103

Combine like terms: 103 + -103 = 0
0 + -5y = -7 + -103
-5y = -7 + -103

Combine like terms: -7 + -103 = -110
-5y = -110

Divide each side by '-5'.
y = 22

Simplifying
y = 22

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