10-(3y-9)=9-4y

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Solution for 10-(3y-9)=9-4y equation:


Simplifying
10 + -1(3y + -9) = 9 + -4y

Reorder the terms:
10 + -1(-9 + 3y) = 9 + -4y
10 + (-9 * -1 + 3y * -1) = 9 + -4y
10 + (9 + -3y) = 9 + -4y

Combine like terms: 10 + 9 = 19
19 + -3y = 9 + -4y

Solving
19 + -3y = 9 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
19 + -3y + 4y = 9 + -4y + 4y

Combine like terms: -3y + 4y = 1y
19 + 1y = 9 + -4y + 4y

Combine like terms: -4y + 4y = 0
19 + 1y = 9 + 0
19 + 1y = 9

Add '-19' to each side of the equation.
19 + -19 + 1y = 9 + -19

Combine like terms: 19 + -19 = 0
0 + 1y = 9 + -19
1y = 9 + -19

Combine like terms: 9 + -19 = -10
1y = -10

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

Simplifying
y = -10

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