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Simplifying -21 = -4(-5y + 1) + 5(9 + 2y) + y Reorder the terms: -21 = -4(1 + -5y) + 5(9 + 2y) + y -21 = (1 * -4 + -5y * -4) + 5(9 + 2y) + y -21 = (-4 + 20y) + 5(9 + 2y) + y -21 = -4 + 20y + (9 * 5 + 2y * 5) + y -21 = -4 + 20y + (45 + 10y) + y Reorder the terms: -21 = -4 + 45 + 20y + 10y + y Combine like terms: -4 + 45 = 41 -21 = 41 + 20y + 10y + y Combine like terms: 20y + 10y = 30y -21 = 41 + 30y + y Combine like terms: 30y + y = 31y -21 = 41 + 31y Solving -21 = 41 + 31y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-31y' to each side of the equation. -21 + -31y = 41 + 31y + -31y Combine like terms: 31y + -31y = 0 -21 + -31y = 41 + 0 -21 + -31y = 41 Add '21' to each side of the equation. -21 + 21 + -31y = 41 + 21 Combine like terms: -21 + 21 = 0 0 + -31y = 41 + 21 -31y = 41 + 21 Combine like terms: 41 + 21 = 62 -31y = 62 Divide each side by '-31'. y = -2 Simplifying y = -2
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