0.3(5y-7)-0.2(3y+4)=x

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Solution for 0.3(5y-7)-0.2(3y+4)=x equation: 


Simplifying
0.3(5y + -7) + -0.2(3y + 4) = x

Reorder the terms:
0.3(-7 + 5y) + -0.2(3y + 4) = x
(-7 * 0.3 + 5y * 0.3) + -0.2(3y + 4) = x
(-2.1 + 1.5y) + -0.2(3y + 4) = x

Reorder the terms:
-2.1 + 1.5y + -0.2(4 + 3y) = x
-2.1 + 1.5y + (4 * -0.2 + 3y * -0.2) = x
-2.1 + 1.5y + (-0.8 + -0.6y) = x

Reorder the terms:
-2.1 + -0.8 + 1.5y + -0.6y = x

Combine like terms: -2.1 + -0.8 = -2.9
-2.9 + 1.5y + -0.6y = x

Combine like terms: 1.5y + -0.6y = 0.9y
-2.9 + 0.9y = x

Solving
-2.9 + 0.9y = x

Solving for variable 'y'.

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

Add '2.9' to each side of the equation.
-2.9 + 2.9 + 0.9y = 2.9 + x

Combine like terms: -2.9 + 2.9 = 0.0
0.0 + 0.9y = 2.9 + x
0.9y = 2.9 + x

Divide each side by '0.9'.
y = 3.222222222 + 1.111111111x

Simplifying
y = 3.222222222 + 1.111111111x

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