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Simplifying -3(-4 + -6y) + 7(-1y + 5) = -36 (-4 * -3 + -6y * -3) + 7(-1y + 5) = -36 (12 + 18y) + 7(-1y + 5) = -36 Reorder the terms: 12 + 18y + 7(5 + -1y) = -36 12 + 18y + (5 * 7 + -1y * 7) = -36 12 + 18y + (35 + -7y) = -36 Reorder the terms: 12 + 35 + 18y + -7y = -36 Combine like terms: 12 + 35 = 47 47 + 18y + -7y = -36 Combine like terms: 18y + -7y = 11y 47 + 11y = -36 Solving 47 + 11y = -36 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 11y = -36 + -47 Combine like terms: 47 + -47 = 0 0 + 11y = -36 + -47 11y = -36 + -47 Combine like terms: -36 + -47 = -83 11y = -83 Divide each side by '11'. y = -7.545454545 Simplifying y = -7.545454545
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