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Simplifying -3(-4 + -6y) + 7(-1y + 5) = -18 (-4 * -3 + -6y * -3) + 7(-1y + 5) = -18 (12 + 18y) + 7(-1y + 5) = -18 Reorder the terms: 12 + 18y + 7(5 + -1y) = -18 12 + 18y + (5 * 7 + -1y * 7) = -18 12 + 18y + (35 + -7y) = -18 Reorder the terms: 12 + 35 + 18y + -7y = -18 Combine like terms: 12 + 35 = 47 47 + 18y + -7y = -18 Combine like terms: 18y + -7y = 11y 47 + 11y = -18 Solving 47 + 11y = -18 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 = -18 + -47 Combine like terms: 47 + -47 = 0 0 + 11y = -18 + -47 11y = -18 + -47 Combine like terms: -18 + -47 = -65 11y = -65 Divide each side by '11'. y = -5.909090909 Simplifying y = -5.909090909
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