4y+2=0.3(8-12y)

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Solution for 4y+2=0.3(8-12y) equation:


Simplifying
4y + 2 = 0.3(8 + -12y)

Reorder the terms:
2 + 4y = 0.3(8 + -12y)
2 + 4y = (8 * 0.3 + -12y * 0.3)
2 + 4y = (2.4 + -3.6y)

Solving
2 + 4y = 2.4 + -3.6y

Solving for variable 'y'.

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

Add '3.6y' to each side of the equation.
2 + 4y + 3.6y = 2.4 + -3.6y + 3.6y

Combine like terms: 4y + 3.6y = 7.6y
2 + 7.6y = 2.4 + -3.6y + 3.6y

Combine like terms: -3.6y + 3.6y = 0.0
2 + 7.6y = 2.4 + 0.0
2 + 7.6y = 2.4

Add '-2' to each side of the equation.
2 + -2 + 7.6y = 2.4 + -2

Combine like terms: 2 + -2 = 0
0 + 7.6y = 2.4 + -2
7.6y = 2.4 + -2

Combine like terms: 2.4 + -2 = 0.4
7.6y = 0.4

Divide each side by '7.6'.
y = 0.05263157895

Simplifying
y = 0.05263157895

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