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Simplifying -3(-4 + -6y) + 7(-1y + 5) = 0 (-4 * -3 + -6y * -3) + 7(-1y + 5) = 0 (12 + 18y) + 7(-1y + 5) = 0 Reorder the terms: 12 + 18y + 7(5 + -1y) = 0 12 + 18y + (5 * 7 + -1y * 7) = 0 12 + 18y + (35 + -7y) = 0 Reorder the terms: 12 + 35 + 18y + -7y = 0 Combine like terms: 12 + 35 = 47 47 + 18y + -7y = 0 Combine like terms: 18y + -7y = 11y 47 + 11y = 0 Solving 47 + 11y = 0 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 = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 11y = 0 + -47 11y = 0 + -47 Combine like terms: 0 + -47 = -47 11y = -47 Divide each side by '11'. y = -4.272727273 Simplifying y = -4.272727273
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