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Simplifying 8y + -5(y + -3) = 18y + -6(3y + 1) Reorder the terms: 8y + -5(-3 + y) = 18y + -6(3y + 1) 8y + (-3 * -5 + y * -5) = 18y + -6(3y + 1) 8y + (15 + -5y) = 18y + -6(3y + 1) Reorder the terms: 15 + 8y + -5y = 18y + -6(3y + 1) Combine like terms: 8y + -5y = 3y 15 + 3y = 18y + -6(3y + 1) Reorder the terms: 15 + 3y = 18y + -6(1 + 3y) 15 + 3y = 18y + (1 * -6 + 3y * -6) 15 + 3y = 18y + (-6 + -18y) Reorder the terms: 15 + 3y = -6 + 18y + -18y Combine like terms: 18y + -18y = 0 15 + 3y = -6 + 0 15 + 3y = -6 Solving 15 + 3y = -6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3y = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 3y = -6 + -15 3y = -6 + -15 Combine like terms: -6 + -15 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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