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Simplifying 5(10 + -1y) + 15 = -3y * 6 (10 * 5 + -1y * 5) + 15 = -3y * 6 (50 + -5y) + 15 = -3y * 6 Reorder the terms: 50 + 15 + -5y = -3y * 6 Combine like terms: 50 + 15 = 65 65 + -5y = -3y * 6 Reorder the terms for easier multiplication: 65 + -5y = -3 * 6y Multiply -3 * 6 65 + -5y = -18y Solving 65 + -5y = -18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18y' to each side of the equation. 65 + -5y + 18y = -18y + 18y Combine like terms: -5y + 18y = 13y 65 + 13y = -18y + 18y Combine like terms: -18y + 18y = 0 65 + 13y = 0 Add '-65' to each side of the equation. 65 + -65 + 13y = 0 + -65 Combine like terms: 65 + -65 = 0 0 + 13y = 0 + -65 13y = 0 + -65 Combine like terms: 0 + -65 = -65 13y = -65 Divide each side by '13'. y = -5 Simplifying y = -5
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