2(9y-1)-3(2y+1)+1=5(4y+3)

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Solution for 2(9y-1)-3(2y+1)+1=5(4y+3) equation:


Simplifying
2(9y + -1) + -3(2y + 1) + 1 = 5(4y + 3)

Reorder the terms:
2(-1 + 9y) + -3(2y + 1) + 1 = 5(4y + 3)
(-1 * 2 + 9y * 2) + -3(2y + 1) + 1 = 5(4y + 3)
(-2 + 18y) + -3(2y + 1) + 1 = 5(4y + 3)

Reorder the terms:
-2 + 18y + -3(1 + 2y) + 1 = 5(4y + 3)
-2 + 18y + (1 * -3 + 2y * -3) + 1 = 5(4y + 3)
-2 + 18y + (-3 + -6y) + 1 = 5(4y + 3)

Reorder the terms:
-2 + -3 + 1 + 18y + -6y = 5(4y + 3)

Combine like terms: -2 + -3 = -5
-5 + 1 + 18y + -6y = 5(4y + 3)

Combine like terms: -5 + 1 = -4
-4 + 18y + -6y = 5(4y + 3)

Combine like terms: 18y + -6y = 12y
-4 + 12y = 5(4y + 3)

Reorder the terms:
-4 + 12y = 5(3 + 4y)
-4 + 12y = (3 * 5 + 4y * 5)
-4 + 12y = (15 + 20y)

Solving
-4 + 12y = 15 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
-4 + 12y + -20y = 15 + 20y + -20y

Combine like terms: 12y + -20y = -8y
-4 + -8y = 15 + 20y + -20y

Combine like terms: 20y + -20y = 0
-4 + -8y = 15 + 0
-4 + -8y = 15

Add '4' to each side of the equation.
-4 + 4 + -8y = 15 + 4

Combine like terms: -4 + 4 = 0
0 + -8y = 15 + 4
-8y = 15 + 4

Combine like terms: 15 + 4 = 19
-8y = 19

Divide each side by '-8'.
y = -2.375

Simplifying
y = -2.375

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