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Simplifying -2(3y + 1) + 5(y + 3) = 1 Reorder the terms: -2(1 + 3y) + 5(y + 3) = 1 (1 * -2 + 3y * -2) + 5(y + 3) = 1 (-2 + -6y) + 5(y + 3) = 1 Reorder the terms: -2 + -6y + 5(3 + y) = 1 -2 + -6y + (3 * 5 + y * 5) = 1 -2 + -6y + (15 + 5y) = 1 Reorder the terms: -2 + 15 + -6y + 5y = 1 Combine like terms: -2 + 15 = 13 13 + -6y + 5y = 1 Combine like terms: -6y + 5y = -1y 13 + -1y = 1 Solving 13 + -1y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1y = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -1y = 1 + -13 -1y = 1 + -13 Combine like terms: 1 + -13 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12
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