5(y-3)+4y-1=2y+3(y-2)

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Solution for 5(y-3)+4y-1=2y+3(y-2) equation:


Simplifying
5(y + -3) + 4y + -1 = 2y + 3(y + -2)

Reorder the terms:
5(-3 + y) + 4y + -1 = 2y + 3(y + -2)
(-3 * 5 + y * 5) + 4y + -1 = 2y + 3(y + -2)
(-15 + 5y) + 4y + -1 = 2y + 3(y + -2)

Reorder the terms:
-15 + -1 + 5y + 4y = 2y + 3(y + -2)

Combine like terms: -15 + -1 = -16
-16 + 5y + 4y = 2y + 3(y + -2)

Combine like terms: 5y + 4y = 9y
-16 + 9y = 2y + 3(y + -2)

Reorder the terms:
-16 + 9y = 2y + 3(-2 + y)
-16 + 9y = 2y + (-2 * 3 + y * 3)
-16 + 9y = 2y + (-6 + 3y)

Reorder the terms:
-16 + 9y = -6 + 2y + 3y

Combine like terms: 2y + 3y = 5y
-16 + 9y = -6 + 5y

Solving
-16 + 9y = -6 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-16 + 9y + -5y = -6 + 5y + -5y

Combine like terms: 9y + -5y = 4y
-16 + 4y = -6 + 5y + -5y

Combine like terms: 5y + -5y = 0
-16 + 4y = -6 + 0
-16 + 4y = -6

Add '16' to each side of the equation.
-16 + 16 + 4y = -6 + 16

Combine like terms: -16 + 16 = 0
0 + 4y = -6 + 16
4y = -6 + 16

Combine like terms: -6 + 16 = 10
4y = 10

Divide each side by '4'.
y = 2.5

Simplifying
y = 2.5

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