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Simplifying -3(-7y + 9) + -5y = 6(y + -7) + -1 Reorder the terms: -3(9 + -7y) + -5y = 6(y + -7) + -1 (9 * -3 + -7y * -3) + -5y = 6(y + -7) + -1 (-27 + 21y) + -5y = 6(y + -7) + -1 Combine like terms: 21y + -5y = 16y -27 + 16y = 6(y + -7) + -1 Reorder the terms: -27 + 16y = 6(-7 + y) + -1 -27 + 16y = (-7 * 6 + y * 6) + -1 -27 + 16y = (-42 + 6y) + -1 Reorder the terms: -27 + 16y = -42 + -1 + 6y Combine like terms: -42 + -1 = -43 -27 + 16y = -43 + 6y Solving -27 + 16y = -43 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -27 + 16y + -6y = -43 + 6y + -6y Combine like terms: 16y + -6y = 10y -27 + 10y = -43 + 6y + -6y Combine like terms: 6y + -6y = 0 -27 + 10y = -43 + 0 -27 + 10y = -43 Add '27' to each side of the equation. -27 + 27 + 10y = -43 + 27 Combine like terms: -27 + 27 = 0 0 + 10y = -43 + 27 10y = -43 + 27 Combine like terms: -43 + 27 = -16 10y = -16 Divide each side by '10'. y = -1.6 Simplifying y = -1.6
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