8y-3=5(2y-3)+6

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Solution for 8y-3=5(2y-3)+6 equation:


Simplifying
8y + -3 = 5(2y + -3) + 6

Reorder the terms:
-3 + 8y = 5(2y + -3) + 6

Reorder the terms:
-3 + 8y = 5(-3 + 2y) + 6
-3 + 8y = (-3 * 5 + 2y * 5) + 6
-3 + 8y = (-15 + 10y) + 6

Reorder the terms:
-3 + 8y = -15 + 6 + 10y

Combine like terms: -15 + 6 = -9
-3 + 8y = -9 + 10y

Solving
-3 + 8y = -9 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-3 + 8y + -10y = -9 + 10y + -10y

Combine like terms: 8y + -10y = -2y
-3 + -2y = -9 + 10y + -10y

Combine like terms: 10y + -10y = 0
-3 + -2y = -9 + 0
-3 + -2y = -9

Add '3' to each side of the equation.
-3 + 3 + -2y = -9 + 3

Combine like terms: -3 + 3 = 0
0 + -2y = -9 + 3
-2y = -9 + 3

Combine like terms: -9 + 3 = -6
-2y = -6

Divide each side by '-2'.
y = 3

Simplifying
y = 3

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