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Simplifying 3(y + -1) = y + 3 + -2(8y + -5) Reorder the terms: 3(-1 + y) = y + 3 + -2(8y + -5) (-1 * 3 + y * 3) = y + 3 + -2(8y + -5) (-3 + 3y) = y + 3 + -2(8y + -5) Reorder the terms: -3 + 3y = y + 3 + -2(-5 + 8y) -3 + 3y = y + 3 + (-5 * -2 + 8y * -2) -3 + 3y = y + 3 + (10 + -16y) Reorder the terms: -3 + 3y = 3 + 10 + y + -16y Combine like terms: 3 + 10 = 13 -3 + 3y = 13 + y + -16y Combine like terms: y + -16y = -15y -3 + 3y = 13 + -15y Solving -3 + 3y = 13 + -15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15y' to each side of the equation. -3 + 3y + 15y = 13 + -15y + 15y Combine like terms: 3y + 15y = 18y -3 + 18y = 13 + -15y + 15y Combine like terms: -15y + 15y = 0 -3 + 18y = 13 + 0 -3 + 18y = 13 Add '3' to each side of the equation. -3 + 3 + 18y = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 18y = 13 + 3 18y = 13 + 3 Combine like terms: 13 + 3 = 16 18y = 16 Divide each side by '18'. y = 0.8888888889 Simplifying y = 0.8888888889
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