-(4y-8)-(-3y+5)=-7

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Solution for -(4y-8)-(-3y+5)=-7 equation:


Simplifying
-1(4y + -8) + -1(-3y + 5) = -7

Reorder the terms:
-1(-8 + 4y) + -1(-3y + 5) = -7
(-8 * -1 + 4y * -1) + -1(-3y + 5) = -7
(8 + -4y) + -1(-3y + 5) = -7

Reorder the terms:
8 + -4y + -1(5 + -3y) = -7
8 + -4y + (5 * -1 + -3y * -1) = -7
8 + -4y + (-5 + 3y) = -7

Reorder the terms:
8 + -5 + -4y + 3y = -7

Combine like terms: 8 + -5 = 3
3 + -4y + 3y = -7

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

Solving
3 + -1y = -7

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + -1y = -7 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = -7 + -3
-1y = -7 + -3

Combine like terms: -7 + -3 = -10
-1y = -10

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

Simplifying
y = 10

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