0.16(5y-2)=0.4y+7

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Solution for 0.16(5y-2)=0.4y+7 equation: 


Simplifying
0.16(5y + -2) = 0.4y + 7

Reorder the terms:
0.16(-2 + 5y) = 0.4y + 7
(-2 * 0.16 + 5y * 0.16) = 0.4y + 7
(-0.32 + 0.8y) = 0.4y + 7

Reorder the terms:
-0.32 + 0.8y = 7 + 0.4y

Solving
-0.32 + 0.8y = 7 + 0.4y

Solving for variable 'y'.

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

Add '-0.4y' to each side of the equation.
-0.32 + 0.8y + -0.4y = 7 + 0.4y + -0.4y

Combine like terms: 0.8y + -0.4y = 0.4y
-0.32 + 0.4y = 7 + 0.4y + -0.4y

Combine like terms: 0.4y + -0.4y = 0.0
-0.32 + 0.4y = 7 + 0.0
-0.32 + 0.4y = 7

Add '0.32' to each side of the equation.
-0.32 + 0.32 + 0.4y = 7 + 0.32

Combine like terms: -0.32 + 0.32 = 0.00
0.00 + 0.4y = 7 + 0.32
0.4y = 7 + 0.32

Combine like terms: 7 + 0.32 = 7.32
0.4y = 7.32

Divide each side by '0.4'.
y = 18.3

Simplifying
y = 18.3

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