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Simplifying 5(6 + -1y) + -12 = y (6 * 5 + -1y * 5) + -12 = y (30 + -5y) + -12 = y Reorder the terms: 30 + -12 + -5y = y Combine like terms: 30 + -12 = 18 18 + -5y = y Solving 18 + -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. 18 + -5y + -1y = y + -1y Combine like terms: -5y + -1y = -6y 18 + -6y = y + -1y Combine like terms: y + -1y = 0 18 + -6y = 0 Add '-18' to each side of the equation. 18 + -18 + -6y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -6y = 0 + -18 -6y = 0 + -18 Combine like terms: 0 + -18 = -18 -6y = -18 Divide each side by '-6'. y = 3 Simplifying y = 3
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