6(4y+1)-1=5(6y+3)-19

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Solution for 6(4y+1)-1=5(6y+3)-19 equation:


Simplifying
6(4y + 1) + -1 = 5(6y + 3) + -19

Reorder the terms:
6(1 + 4y) + -1 = 5(6y + 3) + -19
(1 * 6 + 4y * 6) + -1 = 5(6y + 3) + -19
(6 + 24y) + -1 = 5(6y + 3) + -19

Reorder the terms:
6 + -1 + 24y = 5(6y + 3) + -19

Combine like terms: 6 + -1 = 5
5 + 24y = 5(6y + 3) + -19

Reorder the terms:
5 + 24y = 5(3 + 6y) + -19
5 + 24y = (3 * 5 + 6y * 5) + -19
5 + 24y = (15 + 30y) + -19

Reorder the terms:
5 + 24y = 15 + -19 + 30y

Combine like terms: 15 + -19 = -4
5 + 24y = -4 + 30y

Solving
5 + 24y = -4 + 30y

Solving for variable 'y'.

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

Add '-30y' to each side of the equation.
5 + 24y + -30y = -4 + 30y + -30y

Combine like terms: 24y + -30y = -6y
5 + -6y = -4 + 30y + -30y

Combine like terms: 30y + -30y = 0
5 + -6y = -4 + 0
5 + -6y = -4

Add '-5' to each side of the equation.
5 + -5 + -6y = -4 + -5

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

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

Divide each side by '-6'.
y = 1.5

Simplifying
y = 1.5

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