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Simplifying 6(y + -5) + -4 = 6(-4y + 5) + -6y Reorder the terms: 6(-5 + y) + -4 = 6(-4y + 5) + -6y (-5 * 6 + y * 6) + -4 = 6(-4y + 5) + -6y (-30 + 6y) + -4 = 6(-4y + 5) + -6y Reorder the terms: -30 + -4 + 6y = 6(-4y + 5) + -6y Combine like terms: -30 + -4 = -34 -34 + 6y = 6(-4y + 5) + -6y Reorder the terms: -34 + 6y = 6(5 + -4y) + -6y -34 + 6y = (5 * 6 + -4y * 6) + -6y -34 + 6y = (30 + -24y) + -6y Combine like terms: -24y + -6y = -30y -34 + 6y = 30 + -30y Solving -34 + 6y = 30 + -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. -34 + 6y + 30y = 30 + -30y + 30y Combine like terms: 6y + 30y = 36y -34 + 36y = 30 + -30y + 30y Combine like terms: -30y + 30y = 0 -34 + 36y = 30 + 0 -34 + 36y = 30 Add '34' to each side of the equation. -34 + 34 + 36y = 30 + 34 Combine like terms: -34 + 34 = 0 0 + 36y = 30 + 34 36y = 30 + 34 Combine like terms: 30 + 34 = 64 36y = 64 Divide each side by '36'. y = 1.777777778 Simplifying y = 1.777777778
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