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Simplifying 5(3 + -1y) = y + -5 * 3 (3 * 5 + -1y * 5) = y + -5 * 3 (15 + -5y) = y + -5 * 3 Multiply -5 * 3 15 + -5y = y + -15 Reorder the terms: 15 + -5y = -15 + y Solving 15 + -5y = -15 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 15 + -5y + -1y = -15 + y + -1y Combine like terms: -5y + -1y = -6y 15 + -6y = -15 + y + -1y Combine like terms: y + -1y = 0 15 + -6y = -15 + 0 15 + -6y = -15 Add '-15' to each side of the equation. 15 + -15 + -6y = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -6y = -15 + -15 -6y = -15 + -15 Combine like terms: -15 + -15 = -30 -6y = -30 Divide each side by '-6'. y = 5 Simplifying y = 5
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