6y+2(y-4)=6(y+1)-7

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


Simplifying
6y + 2(y + -4) = 6(y + 1) + -7

Reorder the terms:
6y + 2(-4 + y) = 6(y + 1) + -7
6y + (-4 * 2 + y * 2) = 6(y + 1) + -7
6y + (-8 + 2y) = 6(y + 1) + -7

Reorder the terms:
-8 + 6y + 2y = 6(y + 1) + -7

Combine like terms: 6y + 2y = 8y
-8 + 8y = 6(y + 1) + -7

Reorder the terms:
-8 + 8y = 6(1 + y) + -7
-8 + 8y = (1 * 6 + y * 6) + -7
-8 + 8y = (6 + 6y) + -7

Reorder the terms:
-8 + 8y = 6 + -7 + 6y

Combine like terms: 6 + -7 = -1
-8 + 8y = -1 + 6y

Solving
-8 + 8y = -1 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-8 + 8y + -6y = -1 + 6y + -6y

Combine like terms: 8y + -6y = 2y
-8 + 2y = -1 + 6y + -6y

Combine like terms: 6y + -6y = 0
-8 + 2y = -1 + 0
-8 + 2y = -1

Add '8' to each side of the equation.
-8 + 8 + 2y = -1 + 8

Combine like terms: -8 + 8 = 0
0 + 2y = -1 + 8
2y = -1 + 8

Combine like terms: -1 + 8 = 7
2y = 7

Divide each side by '2'.
y = 3.5

Simplifying
y = 3.5

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