10y-15=3y-5

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Solution for 10y-15=3y-5 equation:


Simplifying
10y + -15 = 3y + -5

Reorder the terms:
-15 + 10y = 3y + -5

Reorder the terms:
-15 + 10y = -5 + 3y

Solving
-15 + 10y = -5 + 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.
-15 + 10y + -3y = -5 + 3y + -3y

Combine like terms: 10y + -3y = 7y
-15 + 7y = -5 + 3y + -3y

Combine like terms: 3y + -3y = 0
-15 + 7y = -5 + 0
-15 + 7y = -5

Add '15' to each side of the equation.
-15 + 15 + 7y = -5 + 15

Combine like terms: -15 + 15 = 0
0 + 7y = -5 + 15
7y = -5 + 15

Combine like terms: -5 + 15 = 10
7y = 10

Divide each side by '7'.
y = 1.428571429

Simplifying
y = 1.428571429

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