7y-8(y+1)+10(y+2)=6

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Solution for 7y-8(y+1)+10(y+2)=6 equation:


Simplifying
7y + -8(y + 1) + 10(y + 2) = 6

Reorder the terms:
7y + -8(1 + y) + 10(y + 2) = 6
7y + (1 * -8 + y * -8) + 10(y + 2) = 6
7y + (-8 + -8y) + 10(y + 2) = 6

Reorder the terms:
7y + -8 + -8y + 10(2 + y) = 6
7y + -8 + -8y + (2 * 10 + y * 10) = 6
7y + -8 + -8y + (20 + 10y) = 6

Reorder the terms:
-8 + 20 + 7y + -8y + 10y = 6

Combine like terms: -8 + 20 = 12
12 + 7y + -8y + 10y = 6

Combine like terms: 7y + -8y = -1y
12 + -1y + 10y = 6

Combine like terms: -1y + 10y = 9y
12 + 9y = 6

Solving
12 + 9y = 6

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 + -12 + 9y = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 9y = 6 + -12
9y = 6 + -12

Combine like terms: 6 + -12 = -6
9y = -6

Divide each side by '9'.
y = -0.6666666667

Simplifying
y = -0.6666666667

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