10-(4y-2)=9-5y

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Solution for 10-(4y-2)=9-5y equation: 


Simplifying
10 + -1(4y + -2) = 9 + -5y

Reorder the terms:
10 + -1(-2 + 4y) = 9 + -5y
10 + (-2 * -1 + 4y * -1) = 9 + -5y
10 + (2 + -4y) = 9 + -5y

Combine like terms: 10 + 2 = 12
12 + -4y = 9 + -5y

Solving
12 + -4y = 9 + -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.
12 + -4y + 5y = 9 + -5y + 5y

Combine like terms: -4y + 5y = 1y
12 + 1y = 9 + -5y + 5y

Combine like terms: -5y + 5y = 0
12 + 1y = 9 + 0
12 + 1y = 9

Add '-12' to each side of the equation.
12 + -12 + 1y = 9 + -12

Combine like terms: 12 + -12 = 0
0 + 1y = 9 + -12
1y = 9 + -12

Combine like terms: 9 + -12 = -3
1y = -3

Divide each side by '1'.
y = -3

Simplifying
y = -3

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