3y-10=2y+5

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Solution for 3y-10=2y+5 equation:


Simplifying
3y + -10 = 2y + 5

Reorder the terms:
-10 + 3y = 2y + 5

Reorder the terms:
-10 + 3y = 5 + 2y

Solving
-10 + 3y = 5 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-10 + 3y + -2y = 5 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-10 + 1y = 5 + 2y + -2y

Combine like terms: 2y + -2y = 0
-10 + 1y = 5 + 0
-10 + 1y = 5

Add '10' to each side of the equation.
-10 + 10 + 1y = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 1y = 5 + 10
1y = 5 + 10

Combine like terms: 5 + 10 = 15
1y = 15

Divide each side by '1'.
y = 15

Simplifying
y = 15

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