41(y-10)=y(-42)

Solution for 41(y-10)=y(-42) equation:

Simplifying
41(y + -10) = y(-42)

Reorder the terms:
41(-10 + y) = y(-42)
(-10 * 41 + y * 41) = y(-42)
(-410 + 41y) = y(-42)

Reorder the terms for easier multiplication:
-410 + 41y = -42y

Solving
-410 + 41y = -42y

Solving for variable 'y'.

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

Add '42y' to each side of the equation.
-410 + 41y + 42y = -42y + 42y

Combine like terms: 41y + 42y = 83y
-410 + 83y = -42y + 42y

Combine like terms: -42y + 42y = 0
-410 + 83y = 0

Add '410' to each side of the equation.
-410 + 410 + 83y = 0 + 410

Combine like terms: -410 + 410 = 0
0 + 83y = 0 + 410
83y = 0 + 410

Combine like terms: 0 + 410 = 410
83y = 410

Divide each side by '83'.
y = 4.939759036

Simplifying
y = 4.939759036