0.2(y+4)=0.3(y-0.7)

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Solution for 0.2(y+4)=0.3(y-0.7) equation: 


Simplifying
0.2(y + 4) = 0.3(y + -0.7)

Reorder the terms:
0.2(4 + y) = 0.3(y + -0.7)
(4 * 0.2 + y * 0.2) = 0.3(y + -0.7)
(0.8 + 0.2y) = 0.3(y + -0.7)

Reorder the terms:
0.8 + 0.2y = 0.3(-0.7 + y)
0.8 + 0.2y = (-0.7 * 0.3 + y * 0.3)
0.8 + 0.2y = (-0.21 + 0.3y)

Solving
0.8 + 0.2y = -0.21 + 0.3y

Solving for variable 'y'.

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

Add '-0.3y' to each side of the equation.
0.8 + 0.2y + -0.3y = -0.21 + 0.3y + -0.3y

Combine like terms: 0.2y + -0.3y = -0.1y
0.8 + -0.1y = -0.21 + 0.3y + -0.3y

Combine like terms: 0.3y + -0.3y = 0.0
0.8 + -0.1y = -0.21 + 0.0
0.8 + -0.1y = -0.21

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -0.1y = -0.21 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.1y = -0.21 + -0.8
-0.1y = -0.21 + -0.8

Combine like terms: -0.21 + -0.8 = -1.01
-0.1y = -1.01

Divide each side by '-0.1'.
y = 10.1

Simplifying
y = 10.1

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