5(y+5)+y=3(y+4)6

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


Simplifying
5(y + 5) + y = 3(y + 4) * 6

Reorder the terms:
5(5 + y) + y = 3(y + 4) * 6
(5 * 5 + y * 5) + y = 3(y + 4) * 6
(25 + 5y) + y = 3(y + 4) * 6

Combine like terms: 5y + y = 6y
25 + 6y = 3(y + 4) * 6

Reorder the terms:
25 + 6y = 3(4 + y) * 6

Reorder the terms for easier multiplication:
25 + 6y = 3 * 6(4 + y)

Multiply 3 * 6
25 + 6y = 18(4 + y)
25 + 6y = (4 * 18 + y * 18)
25 + 6y = (72 + 18y)

Solving
25 + 6y = 72 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
25 + 6y + -18y = 72 + 18y + -18y

Combine like terms: 6y + -18y = -12y
25 + -12y = 72 + 18y + -18y

Combine like terms: 18y + -18y = 0
25 + -12y = 72 + 0
25 + -12y = 72

Add '-25' to each side of the equation.
25 + -25 + -12y = 72 + -25

Combine like terms: 25 + -25 = 0
0 + -12y = 72 + -25
-12y = 72 + -25

Combine like terms: 72 + -25 = 47
-12y = 47

Divide each side by '-12'.
y = -3.916666667

Simplifying
y = -3.916666667

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