16(y-9)+2y=8y-3(20)

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Solution for 16(y-9)+2y=8y-3(20) equation:


Simplifying
16(y + -9) + 2y = 8y + -3(20)

Reorder the terms:
16(-9 + y) + 2y = 8y + -3(20)
(-9 * 16 + y * 16) + 2y = 8y + -3(20)
(-144 + 16y) + 2y = 8y + -3(20)

Combine like terms: 16y + 2y = 18y
-144 + 18y = 8y + -3(20)

Multiply -3 * 20
-144 + 18y = 8y + -60

Reorder the terms:
-144 + 18y = -60 + 8y

Solving
-144 + 18y = -60 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-144 + 18y + -8y = -60 + 8y + -8y

Combine like terms: 18y + -8y = 10y
-144 + 10y = -60 + 8y + -8y

Combine like terms: 8y + -8y = 0
-144 + 10y = -60 + 0
-144 + 10y = -60

Add '144' to each side of the equation.
-144 + 144 + 10y = -60 + 144

Combine like terms: -144 + 144 = 0
0 + 10y = -60 + 144
10y = -60 + 144

Combine like terms: -60 + 144 = 84
10y = 84

Divide each side by '10'.
y = 8.4

Simplifying
y = 8.4

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