3y-9=5(2y-3)+4

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Solution for 3y-9=5(2y-3)+4 equation:


Simplifying
3y + -9 = 5(2y + -3) + 4

Reorder the terms:
-9 + 3y = 5(2y + -3) + 4

Reorder the terms:
-9 + 3y = 5(-3 + 2y) + 4
-9 + 3y = (-3 * 5 + 2y * 5) + 4
-9 + 3y = (-15 + 10y) + 4

Reorder the terms:
-9 + 3y = -15 + 4 + 10y

Combine like terms: -15 + 4 = -11
-9 + 3y = -11 + 10y

Solving
-9 + 3y = -11 + 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.
-9 + 3y + -10y = -11 + 10y + -10y

Combine like terms: 3y + -10y = -7y
-9 + -7y = -11 + 10y + -10y

Combine like terms: 10y + -10y = 0
-9 + -7y = -11 + 0
-9 + -7y = -11

Add '9' to each side of the equation.
-9 + 9 + -7y = -11 + 9

Combine like terms: -9 + 9 = 0
0 + -7y = -11 + 9
-7y = -11 + 9

Combine like terms: -11 + 9 = -2
-7y = -2

Divide each side by '-7'.
y = 0.2857142857

Simplifying
y = 0.2857142857

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