10*10*10y-460=3(10*10y+80)

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Solution for 10*10*10y-460=3(10*10y+80) equation: 


Simplifying
10 * 10 * 10y + -460 = 3(10 * 10y + 80)

Multiply 10 * 10
100 * 10y + -460 = 3(10 * 10y + 80)

Multiply 100 * 10
1000y + -460 = 3(10 * 10y + 80)

Reorder the terms:
-460 + 1000y = 3(10 * 10y + 80)

Multiply 10 * 10
-460 + 1000y = 3(100y + 80)

Reorder the terms:
-460 + 1000y = 3(80 + 100y)
-460 + 1000y = (80 * 3 + 100y * 3)
-460 + 1000y = (240 + 300y)

Solving
-460 + 1000y = 240 + 300y

Solving for variable 'y'.

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

Add '-300y' to each side of the equation.
-460 + 1000y + -300y = 240 + 300y + -300y

Combine like terms: 1000y + -300y = 700y
-460 + 700y = 240 + 300y + -300y

Combine like terms: 300y + -300y = 0
-460 + 700y = 240 + 0
-460 + 700y = 240

Add '460' to each side of the equation.
-460 + 460 + 700y = 240 + 460

Combine like terms: -460 + 460 = 0
0 + 700y = 240 + 460
700y = 240 + 460

Combine like terms: 240 + 460 = 700
700y = 700

Divide each side by '700'.
y = 1

Simplifying
y = 1

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