2.4(y+1)=0.3(3y+4)

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Solution for 2.4(y+1)=0.3(3y+4) equation: 


Simplifying
2.4(y + 1) = 0.3(3y + 4)

Reorder the terms:
2.4(1 + y) = 0.3(3y + 4)
(1 * 2.4 + y * 2.4) = 0.3(3y + 4)
(2.4 + 2.4y) = 0.3(3y + 4)

Reorder the terms:
2.4 + 2.4y = 0.3(4 + 3y)
2.4 + 2.4y = (4 * 0.3 + 3y * 0.3)
2.4 + 2.4y = (1.2 + 0.9y)

Solving
2.4 + 2.4y = 1.2 + 0.9y

Solving for variable 'y'.

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

Add '-0.9y' to each side of the equation.
2.4 + 2.4y + -0.9y = 1.2 + 0.9y + -0.9y

Combine like terms: 2.4y + -0.9y = 1.5y
2.4 + 1.5y = 1.2 + 0.9y + -0.9y

Combine like terms: 0.9y + -0.9y = 0.0
2.4 + 1.5y = 1.2 + 0.0
2.4 + 1.5y = 1.2

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 1.5y = 1.2 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 1.5y = 1.2 + -2.4
1.5y = 1.2 + -2.4

Combine like terms: 1.2 + -2.4 = -1.2
1.5y = -1.2

Divide each side by '1.5'.
y = -0.8

Simplifying
y = -0.8

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