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Simplifying 7(6y + -9) = 21y Reorder the terms: 7(-9 + 6y) = 21y (-9 * 7 + 6y * 7) = 21y (-63 + 42y) = 21y Solving -63 + 42y = 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -63 + 42y + -21y = 21y + -21y Combine like terms: 42y + -21y = 21y -63 + 21y = 21y + -21y Combine like terms: 21y + -21y = 0 -63 + 21y = 0 Add '63' to each side of the equation. -63 + 63 + 21y = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 21y = 0 + 63 21y = 0 + 63 Combine like terms: 0 + 63 = 63 21y = 63 Divide each side by '21'. y = 3 Simplifying y = 3
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