5y-13=4(y-1)

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Solution for 5y-13=4(y-1) equation:


Simplifying
5y + -13 = 4(y + -1)

Reorder the terms:
-13 + 5y = 4(y + -1)

Reorder the terms:
-13 + 5y = 4(-1 + y)
-13 + 5y = (-1 * 4 + y * 4)
-13 + 5y = (-4 + 4y)

Solving
-13 + 5y = -4 + 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.
-13 + 5y + -4y = -4 + 4y + -4y

Combine like terms: 5y + -4y = 1y
-13 + 1y = -4 + 4y + -4y

Combine like terms: 4y + -4y = 0
-13 + 1y = -4 + 0
-13 + 1y = -4

Add '13' to each side of the equation.
-13 + 13 + 1y = -4 + 13

Combine like terms: -13 + 13 = 0
0 + 1y = -4 + 13
1y = -4 + 13

Combine like terms: -4 + 13 = 9
1y = 9

Divide each side by '1'.
y = 9

Simplifying
y = 9

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