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Simplifying -3(-4y + 1) + -1(5y + -5) + -2y + 1 = 18 Reorder the terms: -3(1 + -4y) + -1(5y + -5) + -2y + 1 = 18 (1 * -3 + -4y * -3) + -1(5y + -5) + -2y + 1 = 18 (-3 + 12y) + -1(5y + -5) + -2y + 1 = 18 Reorder the terms: -3 + 12y + -1(-5 + 5y) + -2y + 1 = 18 -3 + 12y + (-5 * -1 + 5y * -1) + -2y + 1 = 18 -3 + 12y + (5 + -5y) + -2y + 1 = 18 Reorder the terms: -3 + 5 + 1 + 12y + -5y + -2y = 18 Combine like terms: -3 + 5 = 2 2 + 1 + 12y + -5y + -2y = 18 Combine like terms: 2 + 1 = 3 3 + 12y + -5y + -2y = 18 Combine like terms: 12y + -5y = 7y 3 + 7y + -2y = 18 Combine like terms: 7y + -2y = 5y 3 + 5y = 18 Solving 3 + 5y = 18 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5y = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 5y = 18 + -3 5y = 18 + -3 Combine like terms: 18 + -3 = 15 5y = 15 Divide each side by '5'. y = 3 Simplifying y = 3
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