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Simplifying 21y + -1(2y + -3) = 7(9 + -5y) + -6(8 + -4y) Reorder the terms: 21y + -1(-3 + 2y) = 7(9 + -5y) + -6(8 + -4y) 21y + (-3 * -1 + 2y * -1) = 7(9 + -5y) + -6(8 + -4y) 21y + (3 + -2y) = 7(9 + -5y) + -6(8 + -4y) Reorder the terms: 3 + 21y + -2y = 7(9 + -5y) + -6(8 + -4y) Combine like terms: 21y + -2y = 19y 3 + 19y = 7(9 + -5y) + -6(8 + -4y) 3 + 19y = (9 * 7 + -5y * 7) + -6(8 + -4y) 3 + 19y = (63 + -35y) + -6(8 + -4y) 3 + 19y = 63 + -35y + (8 * -6 + -4y * -6) 3 + 19y = 63 + -35y + (-48 + 24y) Reorder the terms: 3 + 19y = 63 + -48 + -35y + 24y Combine like terms: 63 + -48 = 15 3 + 19y = 15 + -35y + 24y Combine like terms: -35y + 24y = -11y 3 + 19y = 15 + -11y Solving 3 + 19y = 15 + -11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11y' to each side of the equation. 3 + 19y + 11y = 15 + -11y + 11y Combine like terms: 19y + 11y = 30y 3 + 30y = 15 + -11y + 11y Combine like terms: -11y + 11y = 0 3 + 30y = 15 + 0 3 + 30y = 15 Add '-3' to each side of the equation. 3 + -3 + 30y = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 30y = 15 + -3 30y = 15 + -3 Combine like terms: 15 + -3 = 12 30y = 12 Divide each side by '30'. y = 0.4 Simplifying y = 0.4
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