20(105)=(20+5)(20+y)

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Solution for 20(105)=(20+5)(20+y) equation:


Simplifying
20(105) = (20 + 5)(20 + y)

Multiply 20 * 105
2100 = (20 + 5)(20 + y)

Combine like terms: 20 + 5 = 25
2100 = (25)(20 + y)
2100 = (20 * 25 + y * 25)
2100 = (500 + 25y)

Solving
2100 = 500 + 25y

Solving for variable 'y'.

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

Add '-25y' to each side of the equation.
2100 + -25y = 500 + 25y + -25y

Combine like terms: 25y + -25y = 0
2100 + -25y = 500 + 0
2100 + -25y = 500

Add '-2100' to each side of the equation.
2100 + -2100 + -25y = 500 + -2100

Combine like terms: 2100 + -2100 = 0
0 + -25y = 500 + -2100
-25y = 500 + -2100

Combine like terms: 500 + -2100 = -1600
-25y = -1600

Divide each side by '-25'.
y = 64

Simplifying
y = 64

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