(6y+1)=(4y+9)

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Solution for (6y+1)=(4y+9) equation:


Simplifying
(6y + 1) = (4y + 9)

Reorder the terms:
(1 + 6y) = (4y + 9)

Remove parenthesis around (1 + 6y)
1 + 6y = (4y + 9)

Reorder the terms:
1 + 6y = (9 + 4y)

Remove parenthesis around (9 + 4y)
1 + 6y = 9 + 4y

Solving
1 + 6y = 9 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
1 + 6y + -4y = 9 + 4y + -4y

Combine like terms: 6y + -4y = 2y
1 + 2y = 9 + 4y + -4y

Combine like terms: 4y + -4y = 0
1 + 2y = 9 + 0
1 + 2y = 9

Add '-1' to each side of the equation.
1 + -1 + 2y = 9 + -1

Combine like terms: 1 + -1 = 0
0 + 2y = 9 + -1
2y = 9 + -1

Combine like terms: 9 + -1 = 8
2y = 8

Divide each side by '2'.
y = 4

Simplifying
y = 4

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