Y-3=7-4(2Y-10)

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Solution for Y-3=7-4(2Y-10) equation:


Simplifying
Y + -3 = 7 + -4(2Y + -10)

Reorder the terms:
-3 + Y = 7 + -4(2Y + -10)

Reorder the terms:
-3 + Y = 7 + -4(-10 + 2Y)
-3 + Y = 7 + (-10 * -4 + 2Y * -4)
-3 + Y = 7 + (40 + -8Y)

Combine like terms: 7 + 40 = 47
-3 + Y = 47 + -8Y

Solving
-3 + Y = 47 + -8Y

Solving for variable 'Y'.

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

Add '8Y' to each side of the equation.
-3 + Y + 8Y = 47 + -8Y + 8Y

Combine like terms: Y + 8Y = 9Y
-3 + 9Y = 47 + -8Y + 8Y

Combine like terms: -8Y + 8Y = 0
-3 + 9Y = 47 + 0
-3 + 9Y = 47

Add '3' to each side of the equation.
-3 + 3 + 9Y = 47 + 3

Combine like terms: -3 + 3 = 0
0 + 9Y = 47 + 3
9Y = 47 + 3

Combine like terms: 47 + 3 = 50
9Y = 50

Divide each side by '9'.
Y = 5.555555556

Simplifying
Y = 5.555555556

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