8y-9=7(6y+3)

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Solution for 8y-9=7(6y+3) equation:


Simplifying
8y + -9 = 7(6y + 3)

Reorder the terms:
-9 + 8y = 7(6y + 3)

Reorder the terms:
-9 + 8y = 7(3 + 6y)
-9 + 8y = (3 * 7 + 6y * 7)
-9 + 8y = (21 + 42y)

Solving
-9 + 8y = 21 + 42y

Solving for variable 'y'.

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

Add '-42y' to each side of the equation.
-9 + 8y + -42y = 21 + 42y + -42y

Combine like terms: 8y + -42y = -34y
-9 + -34y = 21 + 42y + -42y

Combine like terms: 42y + -42y = 0
-9 + -34y = 21 + 0
-9 + -34y = 21

Add '9' to each side of the equation.
-9 + 9 + -34y = 21 + 9

Combine like terms: -9 + 9 = 0
0 + -34y = 21 + 9
-34y = 21 + 9

Combine like terms: 21 + 9 = 30
-34y = 30

Divide each side by '-34'.
y = -0.8823529412

Simplifying
y = -0.8823529412

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