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Simplifying -3(-4 + -6y) + 7(y + 5) = 0 (-4 * -3 + -6y * -3) + 7(y + 5) = 0 (12 + 18y) + 7(y + 5) = 0 Reorder the terms: 12 + 18y + 7(5 + y) = 0 12 + 18y + (5 * 7 + y * 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 = 25y 47 + 25y = 0 Solving 47 + 25y = 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 + 25y = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 25y = 0 + -47 25y = 0 + -47 Combine like terms: 0 + -47 = -47 25y = -47 Divide each side by '25'. y = -1.88 Simplifying y = -1.88
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