1.8(y+1)=0.3(2y+30)

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Solution for 1.8(y+1)=0.3(2y+30) equation: 


Simplifying
1.8(y + 1) = 0.3(2y + 30)

Reorder the terms:
1.8(1 + y) = 0.3(2y + 30)
(1 * 1.8 + y * 1.8) = 0.3(2y + 30)
(1.8 + 1.8y) = 0.3(2y + 30)

Reorder the terms:
1.8 + 1.8y = 0.3(30 + 2y)
1.8 + 1.8y = (30 * 0.3 + 2y * 0.3)
1.8 + 1.8y = (9 + 0.6y)

Solving
1.8 + 1.8y = 9 + 0.6y

Solving for variable 'y'.

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

Add '-0.6y' to each side of the equation.
1.8 + 1.8y + -0.6y = 9 + 0.6y + -0.6y

Combine like terms: 1.8y + -0.6y = 1.2y
1.8 + 1.2y = 9 + 0.6y + -0.6y

Combine like terms: 0.6y + -0.6y = 0.0
1.8 + 1.2y = 9 + 0.0
1.8 + 1.2y = 9

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 1.2y = 9 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 1.2y = 9 + -1.8
1.2y = 9 + -1.8

Combine like terms: 9 + -1.8 = 7.2
1.2y = 7.2

Divide each side by '1.2'.
y = 6

Simplifying
y = 6

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