10-(2y-5)=5-3y

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Solution for 10-(2y-5)=5-3y equation:


Simplifying
10 + -1(2y + -5) = 5 + -3y

Reorder the terms:
10 + -1(-5 + 2y) = 5 + -3y
10 + (-5 * -1 + 2y * -1) = 5 + -3y
10 + (5 + -2y) = 5 + -3y

Combine like terms: 10 + 5 = 15
15 + -2y = 5 + -3y

Solving
15 + -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.
15 + -2y + 3y = 5 + -3y + 3y

Combine like terms: -2y + 3y = 1y
15 + 1y = 5 + -3y + 3y

Combine like terms: -3y + 3y = 0
15 + 1y = 5 + 0
15 + 1y = 5

Add '-15' to each side of the equation.
15 + -15 + 1y = 5 + -15

Combine like terms: 15 + -15 = 0
0 + 1y = 5 + -15
1y = 5 + -15

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

Divide each side by '1'.
y = -10

Simplifying
y = -10

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