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Simplifying -3(-7y + 9) + -3y = 6(y + -4) * 5 Reorder the terms: -3(9 + -7y) + -3y = 6(y + -4) * 5 (9 * -3 + -7y * -3) + -3y = 6(y + -4) * 5 (-27 + 21y) + -3y = 6(y + -4) * 5 Combine like terms: 21y + -3y = 18y -27 + 18y = 6(y + -4) * 5 Reorder the terms: -27 + 18y = 6(-4 + y) * 5 Reorder the terms for easier multiplication: -27 + 18y = 6 * 5(-4 + y) Multiply 6 * 5 -27 + 18y = 30(-4 + y) -27 + 18y = (-4 * 30 + y * 30) -27 + 18y = (-120 + 30y) Solving -27 + 18y = -120 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. -27 + 18y + -30y = -120 + 30y + -30y Combine like terms: 18y + -30y = -12y -27 + -12y = -120 + 30y + -30y Combine like terms: 30y + -30y = 0 -27 + -12y = -120 + 0 -27 + -12y = -120 Add '27' to each side of the equation. -27 + 27 + -12y = -120 + 27 Combine like terms: -27 + 27 = 0 0 + -12y = -120 + 27 -12y = -120 + 27 Combine like terms: -120 + 27 = -93 -12y = -93 Divide each side by '-12'. y = 7.75 Simplifying y = 7.75
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