-(5y-2)-(-4y-7)=4

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Solution for -(5y-2)-(-4y-7)=4 equation:


Simplifying
-1(5y + -2) + -1(-4y + -7) = 4

Reorder the terms:
-1(-2 + 5y) + -1(-4y + -7) = 4
(-2 * -1 + 5y * -1) + -1(-4y + -7) = 4
(2 + -5y) + -1(-4y + -7) = 4

Reorder the terms:
2 + -5y + -1(-7 + -4y) = 4
2 + -5y + (-7 * -1 + -4y * -1) = 4
2 + -5y + (7 + 4y) = 4

Reorder the terms:
2 + 7 + -5y + 4y = 4

Combine like terms: 2 + 7 = 9
9 + -5y + 4y = 4

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

Solving
9 + -1y = 4

Solving for variable 'y'.

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

Add '-9' to each side of the equation.
9 + -9 + -1y = 4 + -9

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

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

Divide each side by '-1'.
y = 5

Simplifying
y = 5

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