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

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Solution for -5y-1(-9y-7)=5+4(1-y) equation:


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

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

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

Combine like terms: -5y + 9y = 4y
7 + 4y = 5 + 4(1 + -1y)
7 + 4y = 5 + (1 * 4 + -1y * 4)
7 + 4y = 5 + (4 + -4y)

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

Solving
7 + 4y = 9 + -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.
7 + 4y + 4y = 9 + -4y + 4y

Combine like terms: 4y + 4y = 8y
7 + 8y = 9 + -4y + 4y

Combine like terms: -4y + 4y = 0
7 + 8y = 9 + 0
7 + 8y = 9

Add '-7' to each side of the equation.
7 + -7 + 8y = 9 + -7

Combine like terms: 7 + -7 = 0
0 + 8y = 9 + -7
8y = 9 + -7

Combine like terms: 9 + -7 = 2
8y = 2

Divide each side by '8'.
y = 0.25

Simplifying
y = 0.25

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