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)
-410 + 41y = y + -42

Reorder the terms:
-410 + 41y = -42 + y

Solving
-410 + 41y = -42 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-410 + 41y + -1y = -42 + y + -1y

Combine like terms: 41y + -1y = 40y
-410 + 40y = -42 + y + -1y

Combine like terms: y + -1y = 0
-410 + 40y = -42 + 0
-410 + 40y = -42

Add '410' to each side of the equation.
-410 + 410 + 40y = -42 + 410

Combine like terms: -410 + 410 = 0
0 + 40y = -42 + 410
40y = -42 + 410

Combine like terms: -42 + 410 = 368
40y = 368

Divide each side by '40'.
y = 9.2

Simplifying
y = 9.2