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Simplifying 4(y + 5) + 7(y + -3) + 2 = 0 Reorder the terms: 4(5 + y) + 7(y + -3) + 2 = 0 (5 * 4 + y * 4) + 7(y + -3) + 2 = 0 (20 + 4y) + 7(y + -3) + 2 = 0 Reorder the terms: 20 + 4y + 7(-3 + y) + 2 = 0 20 + 4y + (-3 * 7 + y * 7) + 2 = 0 20 + 4y + (-21 + 7y) + 2 = 0 Reorder the terms: 20 + -21 + 2 + 4y + 7y = 0 Combine like terms: 20 + -21 = -1 -1 + 2 + 4y + 7y = 0 Combine like terms: -1 + 2 = 1 1 + 4y + 7y = 0 Combine like terms: 4y + 7y = 11y 1 + 11y = 0 Solving 1 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 11y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 11y = 0 + -1 11y = 0 + -1 Combine like terms: 0 + -1 = -1 11y = -1 Divide each side by '11'. y = -0.09090909091 Simplifying y = -0.09090909091
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