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Simplifying -3(-4 + -6y) + 7(-1y + -5) = -8 (-4 * -3 + -6y * -3) + 7(-1y + -5) = -8 (12 + 18y) + 7(-1y + -5) = -8 Reorder the terms: 12 + 18y + 7(-5 + -1y) = -8 12 + 18y + (-5 * 7 + -1y * 7) = -8 12 + 18y + (-35 + -7y) = -8 Reorder the terms: 12 + -35 + 18y + -7y = -8 Combine like terms: 12 + -35 = -23 -23 + 18y + -7y = -8 Combine like terms: 18y + -7y = 11y -23 + 11y = -8 Solving -23 + 11y = -8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 11y = -8 + 23 Combine like terms: -23 + 23 = 0 0 + 11y = -8 + 23 11y = -8 + 23 Combine like terms: -8 + 23 = 15 11y = 15 Divide each side by '11'. y = 1.363636364 Simplifying y = 1.363636364
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