65(Y-50)=Y+(-95)

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Solution for 65(Y-50)=Y+(-95) equation:


Simplifying
65(Y + -50) = Y + (-95)

Reorder the terms:
65(-50 + Y) = Y + (-95)
(-50 * 65 + Y * 65) = Y + (-95)
(-3250 + 65Y) = Y + (-95)
-3250 + 65Y = Y + -95

Reorder the terms:
-3250 + 65Y = -95 + Y

Solving
-3250 + 65Y = -95 + 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.
-3250 + 65Y + -1Y = -95 + Y + -1Y

Combine like terms: 65Y + -1Y = 64Y
-3250 + 64Y = -95 + Y + -1Y

Combine like terms: Y + -1Y = 0
-3250 + 64Y = -95 + 0
-3250 + 64Y = -95

Add '3250' to each side of the equation.
-3250 + 3250 + 64Y = -95 + 3250

Combine like terms: -3250 + 3250 = 0
0 + 64Y = -95 + 3250
64Y = -95 + 3250

Combine like terms: -95 + 3250 = 3155
64Y = 3155

Divide each side by '64'.
Y = 49.296875

Simplifying
Y = 49.296875

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