(3y-1)=(4y-7)

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Solution for (3y-1)=(4y-7) equation:


Simplifying
(3y + -1) = (4y + -7)

Reorder the terms:
(-1 + 3y) = (4y + -7)

Remove parenthesis around (-1 + 3y)
-1 + 3y = (4y + -7)

Reorder the terms:
-1 + 3y = (-7 + 4y)

Remove parenthesis around (-7 + 4y)
-1 + 3y = -7 + 4y

Solving
-1 + 3y = -7 + 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 + 3y + -4y = -7 + 4y + -4y

Combine like terms: 3y + -4y = -1y
-1 + -1y = -7 + 4y + -4y

Combine like terms: 4y + -4y = 0
-1 + -1y = -7 + 0
-1 + -1y = -7

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

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

Combine like terms: -7 + 1 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6

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