6.5y-19=2.5(y-4)

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


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

Reorder the terms:
-19 + 6.5y = 2.5(y + -4)

Reorder the terms:
-19 + 6.5y = 2.5(-4 + y)
-19 + 6.5y = (-4 * 2.5 + y * 2.5)
-19 + 6.5y = (-10 + 2.5y)

Solving
-19 + 6.5y = -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.
-19 + 6.5y + -2.5y = -10 + 2.5y + -2.5y

Combine like terms: 6.5y + -2.5y = 4y
-19 + 4y = -10 + 2.5y + -2.5y

Combine like terms: 2.5y + -2.5y = 0.0
-19 + 4y = -10 + 0.0
-19 + 4y = -10

Add '19' to each side of the equation.
-19 + 19 + 4y = -10 + 19

Combine like terms: -19 + 19 = 0
0 + 4y = -10 + 19
4y = -10 + 19

Combine like terms: -10 + 19 = 9
4y = 9

Divide each side by '4'.
y = 2.25

Simplifying
y = 2.25

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