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

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


Simplifying
y + 2(y + -6) = -1(2y + -14) + 49

Reorder the terms:
y + 2(-6 + y) = -1(2y + -14) + 49
y + (-6 * 2 + y * 2) = -1(2y + -14) + 49
y + (-12 + 2y) = -1(2y + -14) + 49

Reorder the terms:
-12 + y + 2y = -1(2y + -14) + 49

Combine like terms: y + 2y = 3y
-12 + 3y = -1(2y + -14) + 49

Reorder the terms:
-12 + 3y = -1(-14 + 2y) + 49
-12 + 3y = (-14 * -1 + 2y * -1) + 49
-12 + 3y = (14 + -2y) + 49

Reorder the terms:
-12 + 3y = 14 + 49 + -2y

Combine like terms: 14 + 49 = 63
-12 + 3y = 63 + -2y

Solving
-12 + 3y = 63 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-12 + 3y + 2y = 63 + -2y + 2y

Combine like terms: 3y + 2y = 5y
-12 + 5y = 63 + -2y + 2y

Combine like terms: -2y + 2y = 0
-12 + 5y = 63 + 0
-12 + 5y = 63

Add '12' to each side of the equation.
-12 + 12 + 5y = 63 + 12

Combine like terms: -12 + 12 = 0
0 + 5y = 63 + 12
5y = 63 + 12

Combine like terms: 63 + 12 = 75
5y = 75

Divide each side by '5'.
y = 15

Simplifying
y = 15

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