8(y-5)=6(y-3)

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Solution for 8(y-5)=6(y-3) equation:


Simplifying
8(y + -5) = 6(y + -3)

Reorder the terms:
8(-5 + y) = 6(y + -3)
(-5 * 8 + y * 8) = 6(y + -3)
(-40 + 8y) = 6(y + -3)

Reorder the terms:
-40 + 8y = 6(-3 + y)
-40 + 8y = (-3 * 6 + y * 6)
-40 + 8y = (-18 + 6y)

Solving
-40 + 8y = -18 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-40 + 8y + -6y = -18 + 6y + -6y

Combine like terms: 8y + -6y = 2y
-40 + 2y = -18 + 6y + -6y

Combine like terms: 6y + -6y = 0
-40 + 2y = -18 + 0
-40 + 2y = -18

Add '40' to each side of the equation.
-40 + 40 + 2y = -18 + 40

Combine like terms: -40 + 40 = 0
0 + 2y = -18 + 40
2y = -18 + 40

Combine like terms: -18 + 40 = 22
2y = 22

Divide each side by '2'.
y = 11

Simplifying
y = 11

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