10-(4y-5)=3-5y

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Solution for 10-(4y-5)=3-5y equation:


Simplifying
10 + -1(4y + -5) = 3 + -5y

Reorder the terms:
10 + -1(-5 + 4y) = 3 + -5y
10 + (-5 * -1 + 4y * -1) = 3 + -5y
10 + (5 + -4y) = 3 + -5y

Combine like terms: 10 + 5 = 15
15 + -4y = 3 + -5y

Solving
15 + -4y = 3 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
15 + -4y + 5y = 3 + -5y + 5y

Combine like terms: -4y + 5y = 1y
15 + 1y = 3 + -5y + 5y

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

Add '-15' to each side of the equation.
15 + -15 + 1y = 3 + -15

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

Combine like terms: 3 + -15 = -12
1y = -12

Divide each side by '1'.
y = -12

Simplifying
y = -12

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