2.9y-4(1.2-y)=5.4(y+2)

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Solution for 2.9y-4(1.2-y)=5.4(y+2) equation: 


Simplifying
2.9y + -4(1.2 + -1y) = 5.4(y + 2)
2.9y + (1.2 * -4 + -1y * -4) = 5.4(y + 2)
2.9y + (-4.8 + 4y) = 5.4(y + 2)

Reorder the terms:
-4.8 + 2.9y + 4y = 5.4(y + 2)

Combine like terms: 2.9y + 4y = 6.9y
-4.8 + 6.9y = 5.4(y + 2)

Reorder the terms:
-4.8 + 6.9y = 5.4(2 + y)
-4.8 + 6.9y = (2 * 5.4 + y * 5.4)
-4.8 + 6.9y = (10.8 + 5.4y)

Solving
-4.8 + 6.9y = 10.8 + 5.4y

Solving for variable 'y'.

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

Add '-5.4y' to each side of the equation.
-4.8 + 6.9y + -5.4y = 10.8 + 5.4y + -5.4y

Combine like terms: 6.9y + -5.4y = 1.5y
-4.8 + 1.5y = 10.8 + 5.4y + -5.4y

Combine like terms: 5.4y + -5.4y = 0.0
-4.8 + 1.5y = 10.8 + 0.0
-4.8 + 1.5y = 10.8

Add '4.8' to each side of the equation.
-4.8 + 4.8 + 1.5y = 10.8 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + 1.5y = 10.8 + 4.8
1.5y = 10.8 + 4.8

Combine like terms: 10.8 + 4.8 = 15.6
1.5y = 15.6

Divide each side by '1.5'.
y = 10.4

Simplifying
y = 10.4

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