(y-15)*70=(y+15)*40

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Solution for (y-15)*70=(y+15)*40 equation: 


Simplifying
(y + -15) * 70 = (y + 15) * 40

Reorder the terms:
(-15 + y) * 70 = (y + 15) * 40

Reorder the terms for easier multiplication:
70(-15 + y) = (y + 15) * 40
(-15 * 70 + y * 70) = (y + 15) * 40
(-1050 + 70y) = (y + 15) * 40

Reorder the terms:
-1050 + 70y = (15 + y) * 40

Reorder the terms for easier multiplication:
-1050 + 70y = 40(15 + y)
-1050 + 70y = (15 * 40 + y * 40)
-1050 + 70y = (600 + 40y)

Solving
-1050 + 70y = 600 + 40y

Solving for variable 'y'.

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

Add '-40y' to each side of the equation.
-1050 + 70y + -40y = 600 + 40y + -40y

Combine like terms: 70y + -40y = 30y
-1050 + 30y = 600 + 40y + -40y

Combine like terms: 40y + -40y = 0
-1050 + 30y = 600 + 0
-1050 + 30y = 600

Add '1050' to each side of the equation.
-1050 + 1050 + 30y = 600 + 1050

Combine like terms: -1050 + 1050 = 0
0 + 30y = 600 + 1050
30y = 600 + 1050

Combine like terms: 600 + 1050 = 1650
30y = 1650

Divide each side by '30'.
y = 55

Simplifying
y = 55

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