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Simplifying 6y + -27 = 7(3y + 9) Reorder the terms: -27 + 6y = 7(3y + 9) Reorder the terms: -27 + 6y = 7(9 + 3y) -27 + 6y = (9 * 7 + 3y * 7) -27 + 6y = (63 + 21y) Solving -27 + 6y = 63 + 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. -27 + 6y + -21y = 63 + 21y + -21y Combine like terms: 6y + -21y = -15y -27 + -15y = 63 + 21y + -21y Combine like terms: 21y + -21y = 0 -27 + -15y = 63 + 0 -27 + -15y = 63 Add '27' to each side of the equation. -27 + 27 + -15y = 63 + 27 Combine like terms: -27 + 27 = 0 0 + -15y = 63 + 27 -15y = 63 + 27 Combine like terms: 63 + 27 = 90 -15y = 90 Divide each side by '-15'. y = -6 Simplifying y = -6
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