1-(2Y+5)=4(Y-7)-6

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Solution for 1-(2Y+5)=4(Y-7)-6 equation:


Simplifying
1 + -1(2Y + 5) = 4(Y + -7) + -6

Reorder the terms:
1 + -1(5 + 2Y) = 4(Y + -7) + -6
1 + (5 * -1 + 2Y * -1) = 4(Y + -7) + -6
1 + (-5 + -2Y) = 4(Y + -7) + -6

Combine like terms: 1 + -5 = -4
-4 + -2Y = 4(Y + -7) + -6

Reorder the terms:
-4 + -2Y = 4(-7 + Y) + -6
-4 + -2Y = (-7 * 4 + Y * 4) + -6
-4 + -2Y = (-28 + 4Y) + -6

Reorder the terms:
-4 + -2Y = -28 + -6 + 4Y

Combine like terms: -28 + -6 = -34
-4 + -2Y = -34 + 4Y

Solving
-4 + -2Y = -34 + 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.
-4 + -2Y + -4Y = -34 + 4Y + -4Y

Combine like terms: -2Y + -4Y = -6Y
-4 + -6Y = -34 + 4Y + -4Y

Combine like terms: 4Y + -4Y = 0
-4 + -6Y = -34 + 0
-4 + -6Y = -34

Add '4' to each side of the equation.
-4 + 4 + -6Y = -34 + 4

Combine like terms: -4 + 4 = 0
0 + -6Y = -34 + 4
-6Y = -34 + 4

Combine like terms: -34 + 4 = -30
-6Y = -30

Divide each side by '-6'.
Y = 5

Simplifying
Y = 5

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