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Simplifying (5 + -1y) * 8 = 18 + -6y Reorder the terms for easier multiplication: 8(5 + -1y) = 18 + -6y (5 * 8 + -1y * 8) = 18 + -6y (40 + -8y) = 18 + -6y Solving 40 + -8y = 18 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 40 + -8y + 6y = 18 + -6y + 6y Combine like terms: -8y + 6y = -2y 40 + -2y = 18 + -6y + 6y Combine like terms: -6y + 6y = 0 40 + -2y = 18 + 0 40 + -2y = 18 Add '-40' to each side of the equation. 40 + -40 + -2y = 18 + -40 Combine like terms: 40 + -40 = 0 0 + -2y = 18 + -40 -2y = 18 + -40 Combine like terms: 18 + -40 = -22 -2y = -22 Divide each side by '-2'. y = 11 Simplifying y = 11
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