5y+2=1.2(10y+4)

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Solution for 5y+2=1.2(10y+4) equation: 


Simplifying
5y + 2 = 1.2(10y + 4)

Reorder the terms:
2 + 5y = 1.2(10y + 4)

Reorder the terms:
2 + 5y = 1.2(4 + 10y)
2 + 5y = (4 * 1.2 + 10y * 1.2)
2 + 5y = (4.8 + 12y)

Solving
2 + 5y = 4.8 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
2 + 5y + -12y = 4.8 + 12y + -12y

Combine like terms: 5y + -12y = -7y
2 + -7y = 4.8 + 12y + -12y

Combine like terms: 12y + -12y = 0
2 + -7y = 4.8 + 0
2 + -7y = 4.8

Add '-2' to each side of the equation.
2 + -2 + -7y = 4.8 + -2

Combine like terms: 2 + -2 = 0
0 + -7y = 4.8 + -2
-7y = 4.8 + -2

Combine like terms: 4.8 + -2 = 2.8
-7y = 2.8

Divide each side by '-7'.
y = -0.4

Simplifying
y = -0.4

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