Y+2(y-6)=-2(2y-14)+49

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Solution for Y+2(y-6)=-2(2y-14)+49 equation:


Simplifying
Y + 2(y + -6) = -2(2y + -14) + 49

Reorder the terms:
Y + 2(-6 + y) = -2(2y + -14) + 49
Y + (-6 * 2 + y * 2) = -2(2y + -14) + 49
Y + (-12 + 2y) = -2(2y + -14) + 49

Reorder the terms:
-12 + Y + 2y = -2(2y + -14) + 49

Reorder the terms:
-12 + Y + 2y = -2(-14 + 2y) + 49
-12 + Y + 2y = (-14 * -2 + 2y * -2) + 49
-12 + Y + 2y = (28 + -4y) + 49

Reorder the terms:
-12 + Y + 2y = 28 + 49 + -4y

Combine like terms: 28 + 49 = 77
-12 + Y + 2y = 77 + -4y

Solving
-12 + Y + 2y = 77 + -4y

Solving for variable 'Y'.

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

Add '12' to each side of the equation.
-12 + Y + 12 + 2y = 77 + 12 + -4y

Reorder the terms:
-12 + 12 + Y + 2y = 77 + 12 + -4y

Combine like terms: -12 + 12 = 0
0 + Y + 2y = 77 + 12 + -4y
Y + 2y = 77 + 12 + -4y

Combine like terms: 77 + 12 = 89
Y + 2y = 89 + -4y

Add '-2y' to each side of the equation.
Y + 2y + -2y = 89 + -4y + -2y

Combine like terms: 2y + -2y = 0
Y + 0 = 89 + -4y + -2y
Y = 89 + -4y + -2y

Combine like terms: -4y + -2y = -6y
Y = 89 + -6y

Simplifying
Y = 89 + -6y

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