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

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


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

Reorder the terms:
-5y + 4(5 + 9y) = -9 + 4(9 + -1y)
-5y + (5 * 4 + 9y * 4) = -9 + 4(9 + -1y)
-5y + (20 + 36y) = -9 + 4(9 + -1y)

Reorder the terms:
20 + -5y + 36y = -9 + 4(9 + -1y)

Combine like terms: -5y + 36y = 31y
20 + 31y = -9 + 4(9 + -1y)
20 + 31y = -9 + (9 * 4 + -1y * 4)
20 + 31y = -9 + (36 + -4y)

Combine like terms: -9 + 36 = 27
20 + 31y = 27 + -4y

Solving
20 + 31y = 27 + -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.
20 + 31y + 4y = 27 + -4y + 4y

Combine like terms: 31y + 4y = 35y
20 + 35y = 27 + -4y + 4y

Combine like terms: -4y + 4y = 0
20 + 35y = 27 + 0
20 + 35y = 27

Add '-20' to each side of the equation.
20 + -20 + 35y = 27 + -20

Combine like terms: 20 + -20 = 0
0 + 35y = 27 + -20
35y = 27 + -20

Combine like terms: 27 + -20 = 7
35y = 7

Divide each side by '35'.
y = 0.2

Simplifying
y = 0.2

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