3+2(y+5)=4(y-7)-6

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Solution for 3+2(y+5)=4(y-7)-6 equation: 


Simplifying
3 + 2(y + 5) = 4(y + -7) + -6

Reorder the terms:
3 + 2(5 + y) = 4(y + -7) + -6
3 + (5 * 2 + y * 2) = 4(y + -7) + -6
3 + (10 + 2y) = 4(y + -7) + -6

Combine like terms: 3 + 10 = 13
13 + 2y = 4(y + -7) + -6

Reorder the terms:
13 + 2y = 4(-7 + y) + -6
13 + 2y = (-7 * 4 + y * 4) + -6
13 + 2y = (-28 + 4y) + -6

Reorder the terms:
13 + 2y = -28 + -6 + 4y

Combine like terms: -28 + -6 = -34
13 + 2y = -34 + 4y

Solving
13 + 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.
13 + 2y + -4y = -34 + 4y + -4y

Combine like terms: 2y + -4y = -2y
13 + -2y = -34 + 4y + -4y

Combine like terms: 4y + -4y = 0
13 + -2y = -34 + 0
13 + -2y = -34

Add '-13' to each side of the equation.
13 + -13 + -2y = -34 + -13

Combine like terms: 13 + -13 = 0
0 + -2y = -34 + -13
-2y = -34 + -13

Combine like terms: -34 + -13 = -47
-2y = -47

Divide each side by '-2'.
y = 23.5

Simplifying
y = 23.5

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