0.3(45y-18)=15(y+1)

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Solution for 0.3(45y-18)=15(y+1) equation: 


Simplifying
0.3(45y + -18) = 15(y + 1)

Reorder the terms:
0.3(-18 + 45y) = 15(y + 1)
(-18 * 0.3 + 45y * 0.3) = 15(y + 1)
(-5.4 + 13.5y) = 15(y + 1)

Reorder the terms:
-5.4 + 13.5y = 15(1 + y)
-5.4 + 13.5y = (1 * 15 + y * 15)
-5.4 + 13.5y = (15 + 15y)

Solving
-5.4 + 13.5y = 15 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-5.4 + 13.5y + -15y = 15 + 15y + -15y

Combine like terms: 13.5y + -15y = -1.5y
-5.4 + -1.5y = 15 + 15y + -15y

Combine like terms: 15y + -15y = 0
-5.4 + -1.5y = 15 + 0
-5.4 + -1.5y = 15

Add '5.4' to each side of the equation.
-5.4 + 5.4 + -1.5y = 15 + 5.4

Combine like terms: -5.4 + 5.4 = 0.0
0.0 + -1.5y = 15 + 5.4
-1.5y = 15 + 5.4

Combine like terms: 15 + 5.4 = 20.4
-1.5y = 20.4

Divide each side by '-1.5'.
y = -13.6

Simplifying
y = -13.6

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