8y-2=-3(y-3)

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


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

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

Reorder the terms:
-2 + 8y = -3(-3 + y)
-2 + 8y = (-3 * -3 + y * -3)
-2 + 8y = (9 + -3y)

Solving
-2 + 8y = 9 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-2 + 8y + 3y = 9 + -3y + 3y

Combine like terms: 8y + 3y = 11y
-2 + 11y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
-2 + 11y = 9 + 0
-2 + 11y = 9

Add '2' to each side of the equation.
-2 + 2 + 11y = 9 + 2

Combine like terms: -2 + 2 = 0
0 + 11y = 9 + 2
11y = 9 + 2

Combine like terms: 9 + 2 = 11
11y = 11

Divide each side by '11'.
y = 1

Simplifying
y = 1

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