6.5-19=2.5(y-4)

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Solution for 6.5-19=2.5(y-4) equation:


Simplifying
6.5 + -19 = 2.5(y + -4)

Combine like terms: 6.5 + -19 = -12.5
-12.5 = 2.5(y + -4)

Reorder the terms:
-12.5 = 2.5(-4 + y)
-12.5 = (-4 * 2.5 + y * 2.5)
-12.5 = (-10 + 2.5y)

Solving
-12.5 = -10 + 2.5y

Solving for variable 'y'.

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

Add '-2.5y' to each side of the equation.
-12.5 + -2.5y = -10 + 2.5y + -2.5y

Combine like terms: 2.5y + -2.5y = 0.0
-12.5 + -2.5y = -10 + 0.0
-12.5 + -2.5y = -10

Add '12.5' to each side of the equation.
-12.5 + 12.5 + -2.5y = -10 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + -2.5y = -10 + 12.5
-2.5y = -10 + 12.5

Combine like terms: -10 + 12.5 = 2.5
-2.5y = 2.5

Divide each side by '-2.5'.
y = -1

Simplifying
y = -1

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