y+0.7y-5=-1.8(y-5)

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Solution for y+0.7y-5=-1.8(y-5) equation:


Simplifying
y + 0.7y + -5 = -1.8(y + -5)

Reorder the terms:
-5 + y + 0.7y = -1.8(y + -5)

Combine like terms: y + 0.7y = 1.7y
-5 + 1.7y = -1.8(y + -5)

Reorder the terms:
-5 + 1.7y = -1.8(-5 + y)
-5 + 1.7y = (-5 * -1.8 + y * -1.8)
-5 + 1.7y = (9 + -1.8y)

Solving
-5 + 1.7y = 9 + -1.8y

Solving for variable 'y'.

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

Add '1.8y' to each side of the equation.
-5 + 1.7y + 1.8y = 9 + -1.8y + 1.8y

Combine like terms: 1.7y + 1.8y = 3.5y
-5 + 3.5y = 9 + -1.8y + 1.8y

Combine like terms: -1.8y + 1.8y = 0.0
-5 + 3.5y = 9 + 0.0
-5 + 3.5y = 9

Add '5' to each side of the equation.
-5 + 5 + 3.5y = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 3.5y = 9 + 5
3.5y = 9 + 5

Combine like terms: 9 + 5 = 14
3.5y = 14

Divide each side by '3.5'.
y = 4

Simplifying
y = 4

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