2y+10=3y-5

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


Simplifying
2y + 10 = 3y + -5

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

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

Solving
10 + 2y = -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.
10 + 2y + -3y = -5 + 3y + -3y

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

Combine like terms: 3y + -3y = 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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