2.4(y+1)=0.6(2y+12)

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Solution for 2.4(y+1)=0.6(2y+12) equation:


Simplifying
2.4(y + 1) = 0.6(2y + 12)

Reorder the terms:
2.4(1 + y) = 0.6(2y + 12)
(1 * 2.4 + y * 2.4) = 0.6(2y + 12)
(2.4 + 2.4y) = 0.6(2y + 12)

Reorder the terms:
2.4 + 2.4y = 0.6(12 + 2y)
2.4 + 2.4y = (12 * 0.6 + 2y * 0.6)
2.4 + 2.4y = (7.2 + 1.2y)

Solving
2.4 + 2.4y = 7.2 + 1.2y

Solving for variable 'y'.

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

Add '-1.2y' to each side of the equation.
2.4 + 2.4y + -1.2y = 7.2 + 1.2y + -1.2y

Combine like terms: 2.4y + -1.2y = 1.2y
2.4 + 1.2y = 7.2 + 1.2y + -1.2y

Combine like terms: 1.2y + -1.2y = 0.0
2.4 + 1.2y = 7.2 + 0.0
2.4 + 1.2y = 7.2

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 1.2y = 7.2 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 1.2y = 7.2 + -2.4
1.2y = 7.2 + -2.4

Combine like terms: 7.2 + -2.4 = 4.8
1.2y = 4.8

Divide each side by '1.2'.
y = 4

Simplifying
y = 4

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