10y-5=3y+58

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Solution for 10y-5=3y+58 equation:


Simplifying
10y + -5 = 3y + 58

Reorder the terms:
-5 + 10y = 3y + 58

Reorder the terms:
-5 + 10y = 58 + 3y

Solving
-5 + 10y = 58 + 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.
-5 + 10y + -3y = 58 + 3y + -3y

Combine like terms: 10y + -3y = 7y
-5 + 7y = 58 + 3y + -3y

Combine like terms: 3y + -3y = 0
-5 + 7y = 58 + 0
-5 + 7y = 58

Add '5' to each side of the equation.
-5 + 5 + 7y = 58 + 5

Combine like terms: -5 + 5 = 0
0 + 7y = 58 + 5
7y = 58 + 5

Combine like terms: 58 + 5 = 63
7y = 63

Divide each side by '7'.
y = 9

Simplifying
y = 9

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