0.2(7y-1)=7-0.3(2-y)

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Solution for 0.2(7y-1)=7-0.3(2-y) equation: 


Simplifying
0.2(7y + -1) = 7 + -0.3(2 + -1y)

Reorder the terms:
0.2(-1 + 7y) = 7 + -0.3(2 + -1y)
(-1 * 0.2 + 7y * 0.2) = 7 + -0.3(2 + -1y)
(-0.2 + 1.4y) = 7 + -0.3(2 + -1y)
-0.2 + 1.4y = 7 + (2 * -0.3 + -1y * -0.3)
-0.2 + 1.4y = 7 + (-0.6 + 0.3y)

Combine like terms: 7 + -0.6 = 6.4
-0.2 + 1.4y = 6.4 + 0.3y

Solving
-0.2 + 1.4y = 6.4 + 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.
-0.2 + 1.4y + -0.3y = 6.4 + 0.3y + -0.3y

Combine like terms: 1.4y + -0.3y = 1.1y
-0.2 + 1.1y = 6.4 + 0.3y + -0.3y

Combine like terms: 0.3y + -0.3y = 0.0
-0.2 + 1.1y = 6.4 + 0.0
-0.2 + 1.1y = 6.4

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 1.1y = 6.4 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 1.1y = 6.4 + 0.2
1.1y = 6.4 + 0.2

Combine like terms: 6.4 + 0.2 = 6.6
1.1y = 6.6

Divide each side by '1.1'.
y = 6

Simplifying
y = 6

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