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Simplifying -2(8y + -1) + 6y = 2(y + 5) Reorder the terms: -2(-1 + 8y) + 6y = 2(y + 5) (-1 * -2 + 8y * -2) + 6y = 2(y + 5) (2 + -16y) + 6y = 2(y + 5) Combine like terms: -16y + 6y = -10y 2 + -10y = 2(y + 5) Reorder the terms: 2 + -10y = 2(5 + y) 2 + -10y = (5 * 2 + y * 2) 2 + -10y = (10 + 2y) Solving 2 + -10y = 10 + 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. 2 + -10y + -2y = 10 + 2y + -2y Combine like terms: -10y + -2y = -12y 2 + -12y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 2 + -12y = 10 + 0 2 + -12y = 10 Add '-2' to each side of the equation. 2 + -2 + -12y = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -12y = 10 + -2 -12y = 10 + -2 Combine like terms: 10 + -2 = 8 -12y = 8 Divide each side by '-12'. y = -0.6666666667 Simplifying y = -0.6666666667
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