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Simplifying 4(y + 8) + 3(y + -6) = 0 Reorder the terms: 4(8 + y) + 3(y + -6) = 0 (8 * 4 + y * 4) + 3(y + -6) = 0 (32 + 4y) + 3(y + -6) = 0 Reorder the terms: 32 + 4y + 3(-6 + y) = 0 32 + 4y + (-6 * 3 + y * 3) = 0 32 + 4y + (-18 + 3y) = 0 Reorder the terms: 32 + -18 + 4y + 3y = 0 Combine like terms: 32 + -18 = 14 14 + 4y + 3y = 0 Combine like terms: 4y + 3y = 7y 14 + 7y = 0 Solving 14 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7y = 0 + -14 7y = 0 + -14 Combine like terms: 0 + -14 = -14 7y = -14 Divide each side by '7'. y = -2 Simplifying y = -2
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