3-(-4-6y)+7(-y+5)=-8

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Solution for 3-(-4-6y)+7(-y+5)=-8 equation:


Simplifying
3 + -1(-4 + -6y) + 7(-1y + 5) = -8
3 + (-4 * -1 + -6y * -1) + 7(-1y + 5) = -8
3 + (4 + 6y) + 7(-1y + 5) = -8

Reorder the terms:
3 + 4 + 6y + 7(5 + -1y) = -8
3 + 4 + 6y + (5 * 7 + -1y * 7) = -8
3 + 4 + 6y + (35 + -7y) = -8

Reorder the terms:
3 + 4 + 35 + 6y + -7y = -8

Combine like terms: 3 + 4 = 7
7 + 35 + 6y + -7y = -8

Combine like terms: 7 + 35 = 42
42 + 6y + -7y = -8

Combine like terms: 6y + -7y = -1y
42 + -1y = -8

Solving
42 + -1y = -8

Solving for variable 'y'.

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

Add '-42' to each side of the equation.
42 + -42 + -1y = -8 + -42

Combine like terms: 42 + -42 = 0
0 + -1y = -8 + -42
-1y = -8 + -42

Combine like terms: -8 + -42 = -50
-1y = -50

Divide each side by '-1'.
y = 50

Simplifying
y = 50

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