.2(15Y-20)=7Y+20

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Solution for .2(15Y-20)=7Y+20 equation:


Simplifying
0.2(15Y + -20) = 7Y + 20

Reorder the terms:
0.2(-20 + 15Y) = 7Y + 20
(-20 * 0.2 + 15Y * 0.2) = 7Y + 20
(-4 + 3Y) = 7Y + 20

Reorder the terms:
-4 + 3Y = 20 + 7Y

Solving
-4 + 3Y = 20 + 7Y

Solving for variable 'Y'.

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

Add '-7Y' to each side of the equation.
-4 + 3Y + -7Y = 20 + 7Y + -7Y

Combine like terms: 3Y + -7Y = -4Y
-4 + -4Y = 20 + 7Y + -7Y

Combine like terms: 7Y + -7Y = 0
-4 + -4Y = 20 + 0
-4 + -4Y = 20

Add '4' to each side of the equation.
-4 + 4 + -4Y = 20 + 4

Combine like terms: -4 + 4 = 0
0 + -4Y = 20 + 4
-4Y = 20 + 4

Combine like terms: 20 + 4 = 24
-4Y = 24

Divide each side by '-4'.
Y = -6

Simplifying
Y = -6

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