1.6(y-8)=-2.4(y-18)

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Solution for 1.6(y-8)=-2.4(y-18) equation: 


Simplifying
1.6(y + -8) = -2.4(y + -18)

Reorder the terms:
1.6(-8 + y) = -2.4(y + -18)
(-8 * 1.6 + y * 1.6) = -2.4(y + -18)
(-12.8 + 1.6y) = -2.4(y + -18)

Reorder the terms:
-12.8 + 1.6y = -2.4(-18 + y)
-12.8 + 1.6y = (-18 * -2.4 + y * -2.4)
-12.8 + 1.6y = (43.2 + -2.4y)

Solving
-12.8 + 1.6y = 43.2 + -2.4y

Solving for variable 'y'.

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

Add '2.4y' to each side of the equation.
-12.8 + 1.6y + 2.4y = 43.2 + -2.4y + 2.4y

Combine like terms: 1.6y + 2.4y = 4y
-12.8 + 4y = 43.2 + -2.4y + 2.4y

Combine like terms: -2.4y + 2.4y = 0.0
-12.8 + 4y = 43.2 + 0.0
-12.8 + 4y = 43.2

Add '12.8' to each side of the equation.
-12.8 + 12.8 + 4y = 43.2 + 12.8

Combine like terms: -12.8 + 12.8 = 0.0
0.0 + 4y = 43.2 + 12.8
4y = 43.2 + 12.8

Combine like terms: 43.2 + 12.8 = 56
4y = 56

Divide each side by '4'.
y = 14

Simplifying
y = 14

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