4y-5=6+3(y-1)

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Solution for 4y-5=6+3(y-1) equation:


Simplifying
4y + -5 = 6 + 3(y + -1)

Reorder the terms:
-5 + 4y = 6 + 3(y + -1)

Reorder the terms:
-5 + 4y = 6 + 3(-1 + y)
-5 + 4y = 6 + (-1 * 3 + y * 3)
-5 + 4y = 6 + (-3 + 3y)

Combine like terms: 6 + -3 = 3
-5 + 4y = 3 + 3y

Solving
-5 + 4y = 3 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-5 + 4y + -3y = 3 + 3y + -3y

Combine like terms: 4y + -3y = 1y
-5 + 1y = 3 + 3y + -3y

Combine like terms: 3y + -3y = 0
-5 + 1y = 3 + 0
-5 + 1y = 3

Add '5' to each side of the equation.
-5 + 5 + 1y = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 1y = 3 + 5
1y = 3 + 5

Combine like terms: 3 + 5 = 8
1y = 8

Divide each side by '1'.
y = 8

Simplifying
y = 8

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