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Simplifying y + -8 = -2(-3 + 8y) + -1(y + 2) Reorder the terms: -8 + y = -2(-3 + 8y) + -1(y + 2) -8 + y = (-3 * -2 + 8y * -2) + -1(y + 2) -8 + y = (6 + -16y) + -1(y + 2) Reorder the terms: -8 + y = 6 + -16y + -1(2 + y) -8 + y = 6 + -16y + (2 * -1 + y * -1) -8 + y = 6 + -16y + (-2 + -1y) Reorder the terms: -8 + y = 6 + -2 + -16y + -1y Combine like terms: 6 + -2 = 4 -8 + y = 4 + -16y + -1y Combine like terms: -16y + -1y = -17y -8 + y = 4 + -17y Solving -8 + y = 4 + -17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17y' to each side of the equation. -8 + y + 17y = 4 + -17y + 17y Combine like terms: y + 17y = 18y -8 + 18y = 4 + -17y + 17y Combine like terms: -17y + 17y = 0 -8 + 18y = 4 + 0 -8 + 18y = 4 Add '8' to each side of the equation. -8 + 8 + 18y = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 18y = 4 + 8 18y = 4 + 8 Combine like terms: 4 + 8 = 12 18y = 12 Divide each side by '18'. y = 0.6666666667 Simplifying y = 0.6666666667
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