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Simplifying 5(6 + -1y) + -3 = y (6 * 5 + -1y * 5) + -3 = y (30 + -5y) + -3 = y Reorder the terms: 30 + -3 + -5y = y Combine like terms: 30 + -3 = 27 27 + -5y = y Solving 27 + -5y = 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. 27 + -5y + -1y = y + -1y Combine like terms: -5y + -1y = -6y 27 + -6y = y + -1y Combine like terms: y + -1y = 0 27 + -6y = 0 Add '-27' to each side of the equation. 27 + -27 + -6y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -6y = 0 + -27 -6y = 0 + -27 Combine like terms: 0 + -27 = -27 -6y = -27 Divide each side by '-6'. y = 4.5 Simplifying y = 4.5
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