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Simplifying 8y + 1 + -2(-5y + -3) = 3(y + -1) Reorder the terms: 8y + 1 + -2(-3 + -5y) = 3(y + -1) 8y + 1 + (-3 * -2 + -5y * -2) = 3(y + -1) 8y + 1 + (6 + 10y) = 3(y + -1) Reorder the terms: 1 + 6 + 8y + 10y = 3(y + -1) Combine like terms: 1 + 6 = 7 7 + 8y + 10y = 3(y + -1) Combine like terms: 8y + 10y = 18y 7 + 18y = 3(y + -1) Reorder the terms: 7 + 18y = 3(-1 + y) 7 + 18y = (-1 * 3 + y * 3) 7 + 18y = (-3 + 3y) Solving 7 + 18y = -3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 7 + 18y + -3y = -3 + 3y + -3y Combine like terms: 18y + -3y = 15y 7 + 15y = -3 + 3y + -3y Combine like terms: 3y + -3y = 0 7 + 15y = -3 + 0 7 + 15y = -3 Add '-7' to each side of the equation. 7 + -7 + 15y = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 15y = -3 + -7 15y = -3 + -7 Combine like terms: -3 + -7 = -10 15y = -10 Divide each side by '15'. y = -0.6666666667 Simplifying y = -0.6666666667
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