5-0.1(y-18)=0.6(4y-18)

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Solution for 5-0.1(y-18)=0.6(4y-18) equation: 


Simplifying
5 + -0.1(y + -18) = 0.6(4y + -18)

Reorder the terms:
5 + -0.1(-18 + y) = 0.6(4y + -18)
5 + (-18 * -0.1 + y * -0.1) = 0.6(4y + -18)
5 + (1.8 + -0.1y) = 0.6(4y + -18)

Combine like terms: 5 + 1.8 = 6.8
6.8 + -0.1y = 0.6(4y + -18)

Reorder the terms:
6.8 + -0.1y = 0.6(-18 + 4y)
6.8 + -0.1y = (-18 * 0.6 + 4y * 0.6)
6.8 + -0.1y = (-10.8 + 2.4y)

Solving
6.8 + -0.1y = -10.8 + 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.
6.8 + -0.1y + -2.4y = -10.8 + 2.4y + -2.4y

Combine like terms: -0.1y + -2.4y = -2.5y
6.8 + -2.5y = -10.8 + 2.4y + -2.4y

Combine like terms: 2.4y + -2.4y = 0.0
6.8 + -2.5y = -10.8 + 0.0
6.8 + -2.5y = -10.8

Add '-6.8' to each side of the equation.
6.8 + -6.8 + -2.5y = -10.8 + -6.8

Combine like terms: 6.8 + -6.8 = 0.0
0.0 + -2.5y = -10.8 + -6.8
-2.5y = -10.8 + -6.8

Combine like terms: -10.8 + -6.8 = -17.6
-2.5y = -17.6

Divide each side by '-2.5'.
y = 7.04

Simplifying
y = 7.04

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