10-(3y-6)=7-4y

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Solution for 10-(3y-6)=7-4y equation: 


Simplifying
10 + -1(3y + -6) = 7 + -4y

Reorder the terms:
10 + -1(-6 + 3y) = 7 + -4y
10 + (-6 * -1 + 3y * -1) = 7 + -4y
10 + (6 + -3y) = 7 + -4y

Combine like terms: 10 + 6 = 16
16 + -3y = 7 + -4y

Solving
16 + -3y = 7 + -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.
16 + -3y + 4y = 7 + -4y + 4y

Combine like terms: -3y + 4y = 1y
16 + 1y = 7 + -4y + 4y

Combine like terms: -4y + 4y = 0
16 + 1y = 7 + 0
16 + 1y = 7

Add '-16' to each side of the equation.
16 + -16 + 1y = 7 + -16

Combine like terms: 16 + -16 = 0
0 + 1y = 7 + -16
1y = 7 + -16

Combine like terms: 7 + -16 = -9
1y = -9

Divide each side by '1'.
y = -9

Simplifying
y = -9

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