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Simplifying 5(y + -6) + -4 = -5(-5 + 8) + -6y Reorder the terms: 5(-6 + y) + -4 = -5(-5 + 8) + -6y (-6 * 5 + y * 5) + -4 = -5(-5 + 8) + -6y (-30 + 5y) + -4 = -5(-5 + 8) + -6y Reorder the terms: -30 + -4 + 5y = -5(-5 + 8) + -6y Combine like terms: -30 + -4 = -34 -34 + 5y = -5(-5 + 8) + -6y Combine like terms: -5 + 8 = 3 -34 + 5y = -5(3) + -6y Multiply -5 * 3 -34 + 5y = -15 + -6y Solving -34 + 5y = -15 + -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. -34 + 5y + 6y = -15 + -6y + 6y Combine like terms: 5y + 6y = 11y -34 + 11y = -15 + -6y + 6y Combine like terms: -6y + 6y = 0 -34 + 11y = -15 + 0 -34 + 11y = -15 Add '34' to each side of the equation. -34 + 34 + 11y = -15 + 34 Combine like terms: -34 + 34 = 0 0 + 11y = -15 + 34 11y = -15 + 34 Combine like terms: -15 + 34 = 19 11y = 19 Divide each side by '11'. y = 1.727272727 Simplifying y = 1.727272727
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