5Y+2(Y-7)=4(Y-2)-5

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Solution for 5Y+2(Y-7)=4(Y-2)-5 equation:


Simplifying
5Y + 2(Y + -7) = 4(Y + -2) + -5

Reorder the terms:
5Y + 2(-7 + Y) = 4(Y + -2) + -5
5Y + (-7 * 2 + Y * 2) = 4(Y + -2) + -5
5Y + (-14 + 2Y) = 4(Y + -2) + -5

Reorder the terms:
-14 + 5Y + 2Y = 4(Y + -2) + -5

Combine like terms: 5Y + 2Y = 7Y
-14 + 7Y = 4(Y + -2) + -5

Reorder the terms:
-14 + 7Y = 4(-2 + Y) + -5
-14 + 7Y = (-2 * 4 + Y * 4) + -5
-14 + 7Y = (-8 + 4Y) + -5

Reorder the terms:
-14 + 7Y = -8 + -5 + 4Y

Combine like terms: -8 + -5 = -13
-14 + 7Y = -13 + 4Y

Solving
-14 + 7Y = -13 + 4Y

Solving for variable 'Y'.

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

Add '-4Y' to each side of the equation.
-14 + 7Y + -4Y = -13 + 4Y + -4Y

Combine like terms: 7Y + -4Y = 3Y
-14 + 3Y = -13 + 4Y + -4Y

Combine like terms: 4Y + -4Y = 0
-14 + 3Y = -13 + 0
-14 + 3Y = -13

Add '14' to each side of the equation.
-14 + 14 + 3Y = -13 + 14

Combine like terms: -14 + 14 = 0
0 + 3Y = -13 + 14
3Y = -13 + 14

Combine like terms: -13 + 14 = 1
3Y = 1

Divide each side by '3'.
Y = 0.3333333333

Simplifying
Y = 0.3333333333

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