9(8y-5)-7(6y+7)=20y

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Solution for 9(8y-5)-7(6y+7)=20y equation:


Simplifying
9(8y + -5) + -7(6y + 7) = 20y

Reorder the terms:
9(-5 + 8y) + -7(6y + 7) = 20y
(-5 * 9 + 8y * 9) + -7(6y + 7) = 20y
(-45 + 72y) + -7(6y + 7) = 20y

Reorder the terms:
-45 + 72y + -7(7 + 6y) = 20y
-45 + 72y + (7 * -7 + 6y * -7) = 20y
-45 + 72y + (-49 + -42y) = 20y

Reorder the terms:
-45 + -49 + 72y + -42y = 20y

Combine like terms: -45 + -49 = -94
-94 + 72y + -42y = 20y

Combine like terms: 72y + -42y = 30y
-94 + 30y = 20y

Solving
-94 + 30y = 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
-94 + 30y + -20y = 20y + -20y

Combine like terms: 30y + -20y = 10y
-94 + 10y = 20y + -20y

Combine like terms: 20y + -20y = 0
-94 + 10y = 0

Add '94' to each side of the equation.
-94 + 94 + 10y = 0 + 94

Combine like terms: -94 + 94 = 0
0 + 10y = 0 + 94
10y = 0 + 94

Combine like terms: 0 + 94 = 94
10y = 94

Divide each side by '10'.
y = 9.4

Simplifying
y = 9.4

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