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Simplifying 7(y + 4) + 3(4y + -5) = 0 Reorder the terms: 7(4 + y) + 3(4y + -5) = 0 (4 * 7 + y * 7) + 3(4y + -5) = 0 (28 + 7y) + 3(4y + -5) = 0 Reorder the terms: 28 + 7y + 3(-5 + 4y) = 0 28 + 7y + (-5 * 3 + 4y * 3) = 0 28 + 7y + (-15 + 12y) = 0 Reorder the terms: 28 + -15 + 7y + 12y = 0 Combine like terms: 28 + -15 = 13 13 + 7y + 12y = 0 Combine like terms: 7y + 12y = 19y 13 + 19y = 0 Solving 13 + 19y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 19y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 19y = 0 + -13 19y = 0 + -13 Combine like terms: 0 + -13 = -13 19y = -13 Divide each side by '19'. y = -0.6842105263 Simplifying y = -0.6842105263
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