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Simplifying 4(y + 7) + -3(y + 5) = 0 Reorder the terms: 4(7 + y) + -3(y + 5) = 0 (7 * 4 + y * 4) + -3(y + 5) = 0 (28 + 4y) + -3(y + 5) = 0 Reorder the terms: 28 + 4y + -3(5 + y) = 0 28 + 4y + (5 * -3 + y * -3) = 0 28 + 4y + (-15 + -3y) = 0 Reorder the terms: 28 + -15 + 4y + -3y = 0 Combine like terms: 28 + -15 = 13 13 + 4y + -3y = 0 Combine like terms: 4y + -3y = 1y 13 + 1y = 0 Solving 13 + 1y = 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 + 1y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 1y = 0 + -13 1y = 0 + -13 Combine like terms: 0 + -13 = -13 1y = -13 Divide each side by '1'. y = -13 Simplifying y = -13
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