y-3.5y-5.4=-2(y-2.8)

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Solution for y-3.5y-5.4=-2(y-2.8) equation:


Simplifying
y + -3.5y + -5.4 = -2(y + -2.8)

Reorder the terms:
-5.4 + y + -3.5y = -2(y + -2.8)

Combine like terms: y + -3.5y = -2.5y
-5.4 + -2.5y = -2(y + -2.8)

Reorder the terms:
-5.4 + -2.5y = -2(-2.8 + y)
-5.4 + -2.5y = (-2.8 * -2 + y * -2)
-5.4 + -2.5y = (5.6 + -2y)

Solving
-5.4 + -2.5y = 5.6 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-5.4 + -2.5y + 2y = 5.6 + -2y + 2y

Combine like terms: -2.5y + 2y = -0.5y
-5.4 + -0.5y = 5.6 + -2y + 2y

Combine like terms: -2y + 2y = 0
-5.4 + -0.5y = 5.6 + 0
-5.4 + -0.5y = 5.6

Add '5.4' to each side of the equation.
-5.4 + 5.4 + -0.5y = 5.6 + 5.4

Combine like terms: -5.4 + 5.4 = 0.0
0.0 + -0.5y = 5.6 + 5.4
-0.5y = 5.6 + 5.4

Combine like terms: 5.6 + 5.4 = 11
-0.5y = 11

Divide each side by '-0.5'.
y = -22

Simplifying
y = -22

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