.3(y-6)=.22(y+18)

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Solution for .3(y-6)=.22(y+18) equation: 


Simplifying
0.3(y + -6) = 0.22(y + 18)

Reorder the terms:
0.3(-6 + y) = 0.22(y + 18)
(-6 * 0.3 + y * 0.3) = 0.22(y + 18)
(-1.8 + 0.3y) = 0.22(y + 18)

Reorder the terms:
-1.8 + 0.3y = 0.22(18 + y)
-1.8 + 0.3y = (18 * 0.22 + y * 0.22)
-1.8 + 0.3y = (3.96 + 0.22y)

Solving
-1.8 + 0.3y = 3.96 + 0.22y

Solving for variable 'y'.

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

Add '-0.22y' to each side of the equation.
-1.8 + 0.3y + -0.22y = 3.96 + 0.22y + -0.22y

Combine like terms: 0.3y + -0.22y = 0.08y
-1.8 + 0.08y = 3.96 + 0.22y + -0.22y

Combine like terms: 0.22y + -0.22y = 0.00
-1.8 + 0.08y = 3.96 + 0.00
-1.8 + 0.08y = 3.96

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 0.08y = 3.96 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 0.08y = 3.96 + 1.8
0.08y = 3.96 + 1.8

Combine like terms: 3.96 + 1.8 = 5.76
0.08y = 5.76

Divide each side by '0.08'.
y = 72

Simplifying
y = 72

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