4(7y+2)+y=5(6y+3)-8

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Solution for 4(7y+2)+y=5(6y+3)-8 equation:


Simplifying
4(7y + 2) + y = 5(6y + 3) + -8

Reorder the terms:
4(2 + 7y) + y = 5(6y + 3) + -8
(2 * 4 + 7y * 4) + y = 5(6y + 3) + -8
(8 + 28y) + y = 5(6y + 3) + -8

Combine like terms: 28y + y = 29y
8 + 29y = 5(6y + 3) + -8

Reorder the terms:
8 + 29y = 5(3 + 6y) + -8
8 + 29y = (3 * 5 + 6y * 5) + -8
8 + 29y = (15 + 30y) + -8

Reorder the terms:
8 + 29y = 15 + -8 + 30y

Combine like terms: 15 + -8 = 7
8 + 29y = 7 + 30y

Solving
8 + 29y = 7 + 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.
8 + 29y + -30y = 7 + 30y + -30y

Combine like terms: 29y + -30y = -1y
8 + -1y = 7 + 30y + -30y

Combine like terms: 30y + -30y = 0
8 + -1y = 7 + 0
8 + -1y = 7

Add '-8' to each side of the equation.
8 + -8 + -1y = 7 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 7 + -8
-1y = 7 + -8

Combine like terms: 7 + -8 = -1
-1y = -1

Divide each side by '-1'.
y = 1

Simplifying
y = 1

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