y+3(8y+6)=18(y+1)+5y

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Solution for y+3(8y+6)=18(y+1)+5y equation:


Simplifying
y + 3(8y + 6) = 18(y + 1) + 5y

Reorder the terms:
y + 3(6 + 8y) = 18(y + 1) + 5y
y + (6 * 3 + 8y * 3) = 18(y + 1) + 5y
y + (18 + 24y) = 18(y + 1) + 5y

Reorder the terms:
18 + y + 24y = 18(y + 1) + 5y

Combine like terms: y + 24y = 25y
18 + 25y = 18(y + 1) + 5y

Reorder the terms:
18 + 25y = 18(1 + y) + 5y
18 + 25y = (1 * 18 + y * 18) + 5y
18 + 25y = (18 + 18y) + 5y

Combine like terms: 18y + 5y = 23y
18 + 25y = 18 + 23y

Add '-18' to each side of the equation.
18 + -18 + 25y = 18 + -18 + 23y

Combine like terms: 18 + -18 = 0
0 + 25y = 18 + -18 + 23y
25y = 18 + -18 + 23y

Combine like terms: 18 + -18 = 0
25y = 0 + 23y
25y = 23y

Solving
25y = 23y

Solving for variable 'y'.

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

Add '-23y' to each side of the equation.
25y + -23y = 23y + -23y

Combine like terms: 25y + -23y = 2y
2y = 23y + -23y

Combine like terms: 23y + -23y = 0
2y = 0

Divide each side by '2'.
y = 0

Simplifying
y = 0

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