9-(3y-5)=7-4y

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Solution for 9-(3y-5)=7-4y equation:


Simplifying
9 + -1(3y + -5) = 7 + -4y

Reorder the terms:
9 + -1(-5 + 3y) = 7 + -4y
9 + (-5 * -1 + 3y * -1) = 7 + -4y
9 + (5 + -3y) = 7 + -4y

Combine like terms: 9 + 5 = 14
14 + -3y = 7 + -4y

Solving
14 + -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.
14 + -3y + 4y = 7 + -4y + 4y

Combine like terms: -3y + 4y = 1y
14 + 1y = 7 + -4y + 4y

Combine like terms: -4y + 4y = 0
14 + 1y = 7 + 0
14 + 1y = 7

Add '-14' to each side of the equation.
14 + -14 + 1y = 7 + -14

Combine like terms: 14 + -14 = 0
0 + 1y = 7 + -14
1y = 7 + -14

Combine like terms: 7 + -14 = -7
1y = -7

Divide each side by '1'.
y = -7

Simplifying
y = -7

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