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Simplifying 6(y + -3) + -1(5y + -1) = -5 Reorder the terms: 6(-3 + y) + -1(5y + -1) = -5 (-3 * 6 + y * 6) + -1(5y + -1) = -5 (-18 + 6y) + -1(5y + -1) = -5 Reorder the terms: -18 + 6y + -1(-1 + 5y) = -5 -18 + 6y + (-1 * -1 + 5y * -1) = -5 -18 + 6y + (1 + -5y) = -5 Reorder the terms: -18 + 1 + 6y + -5y = -5 Combine like terms: -18 + 1 = -17 -17 + 6y + -5y = -5 Combine like terms: 6y + -5y = 1y -17 + 1y = -5 Solving -17 + 1y = -5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1y = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 1y = -5 + 17 1y = -5 + 17 Combine like terms: -5 + 17 = 12 1y = 12 Divide each side by '1'. y = 12 Simplifying y = 12
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