2.4y-16=.8(y+10)

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Solution for 2.4y-16=.8(y+10) equation:


Simplifying
2.4y + -16 = 0.8(y + 10)

Reorder the terms:
-16 + 2.4y = 0.8(y + 10)

Reorder the terms:
-16 + 2.4y = 0.8(10 + y)
-16 + 2.4y = (10 * 0.8 + y * 0.8)
-16 + 2.4y = (8 + 0.8y)

Solving
-16 + 2.4y = 8 + 0.8y

Solving for variable 'y'.

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

Add '-0.8y' to each side of the equation.
-16 + 2.4y + -0.8y = 8 + 0.8y + -0.8y

Combine like terms: 2.4y + -0.8y = 1.6y
-16 + 1.6y = 8 + 0.8y + -0.8y

Combine like terms: 0.8y + -0.8y = 0.0
-16 + 1.6y = 8 + 0.0
-16 + 1.6y = 8

Add '16' to each side of the equation.
-16 + 16 + 1.6y = 8 + 16

Combine like terms: -16 + 16 = 0
0 + 1.6y = 8 + 16
1.6y = 8 + 16

Combine like terms: 8 + 16 = 24
1.6y = 24

Divide each side by '1.6'.
y = 15

Simplifying
y = 15

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