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Simplifying -50 + 21y + 8 = 6(4y + -3) + -9 Reorder the terms: -50 + 8 + 21y = 6(4y + -3) + -9 Combine like terms: -50 + 8 = -42 -42 + 21y = 6(4y + -3) + -9 Reorder the terms: -42 + 21y = 6(-3 + 4y) + -9 -42 + 21y = (-3 * 6 + 4y * 6) + -9 -42 + 21y = (-18 + 24y) + -9 Reorder the terms: -42 + 21y = -18 + -9 + 24y Combine like terms: -18 + -9 = -27 -42 + 21y = -27 + 24y Solving -42 + 21y = -27 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -42 + 21y + -24y = -27 + 24y + -24y Combine like terms: 21y + -24y = -3y -42 + -3y = -27 + 24y + -24y Combine like terms: 24y + -24y = 0 -42 + -3y = -27 + 0 -42 + -3y = -27 Add '42' to each side of the equation. -42 + 42 + -3y = -27 + 42 Combine like terms: -42 + 42 = 0 0 + -3y = -27 + 42 -3y = -27 + 42 Combine like terms: -27 + 42 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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