26-(-y-4)=3(y+5)-9(y+5)

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Solution for 26-(-y-4)=3(y+5)-9(y+5) equation:


Simplifying
26 + -1(-1y + -4) = 3(y + 5) + -9(y + 5)

Reorder the terms:
26 + -1(-4 + -1y) = 3(y + 5) + -9(y + 5)
26 + (-4 * -1 + -1y * -1) = 3(y + 5) + -9(y + 5)
26 + (4 + 1y) = 3(y + 5) + -9(y + 5)

Combine like terms: 26 + 4 = 30
30 + 1y = 3(y + 5) + -9(y + 5)

Reorder the terms:
30 + 1y = 3(5 + y) + -9(y + 5)
30 + 1y = (5 * 3 + y * 3) + -9(y + 5)
30 + 1y = (15 + 3y) + -9(y + 5)

Reorder the terms:
30 + 1y = 15 + 3y + -9(5 + y)
30 + 1y = 15 + 3y + (5 * -9 + y * -9)
30 + 1y = 15 + 3y + (-45 + -9y)

Reorder the terms:
30 + 1y = 15 + -45 + 3y + -9y

Combine like terms: 15 + -45 = -30
30 + 1y = -30 + 3y + -9y

Combine like terms: 3y + -9y = -6y
30 + 1y = -30 + -6y

Solving
30 + 1y = -30 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
30 + 1y + 6y = -30 + -6y + 6y

Combine like terms: 1y + 6y = 7y
30 + 7y = -30 + -6y + 6y

Combine like terms: -6y + 6y = 0
30 + 7y = -30 + 0
30 + 7y = -30

Add '-30' to each side of the equation.
30 + -30 + 7y = -30 + -30

Combine like terms: 30 + -30 = 0
0 + 7y = -30 + -30
7y = -30 + -30

Combine like terms: -30 + -30 = -60
7y = -60

Divide each side by '7'.
y = -8.571428571

Simplifying
y = -8.571428571

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