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Simplifying 3(4y + 3) + -4(y + -5) = 0 Reorder the terms: 3(3 + 4y) + -4(y + -5) = 0 (3 * 3 + 4y * 3) + -4(y + -5) = 0 (9 + 12y) + -4(y + -5) = 0 Reorder the terms: 9 + 12y + -4(-5 + y) = 0 9 + 12y + (-5 * -4 + y * -4) = 0 9 + 12y + (20 + -4y) = 0 Reorder the terms: 9 + 20 + 12y + -4y = 0 Combine like terms: 9 + 20 = 29 29 + 12y + -4y = 0 Combine like terms: 12y + -4y = 8y 29 + 8y = 0 Solving 29 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 8y = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 8y = 0 + -29 8y = 0 + -29 Combine like terms: 0 + -29 = -29 8y = -29 Divide each side by '8'. y = -3.625 Simplifying y = -3.625
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