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Simplifying 5(y + 2) + 3(y + -6) = 0 Reorder the terms: 5(2 + y) + 3(y + -6) = 0 (2 * 5 + y * 5) + 3(y + -6) = 0 (10 + 5y) + 3(y + -6) = 0 Reorder the terms: 10 + 5y + 3(-6 + y) = 0 10 + 5y + (-6 * 3 + y * 3) = 0 10 + 5y + (-18 + 3y) = 0 Reorder the terms: 10 + -18 + 5y + 3y = 0 Combine like terms: 10 + -18 = -8 -8 + 5y + 3y = 0 Combine like terms: 5y + 3y = 8y -8 + 8y = 0 Solving -8 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 8y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 8y = 0 + 8 8y = 0 + 8 Combine like terms: 0 + 8 = 8 8y = 8 Divide each side by '8'. y = 1 Simplifying y = 1
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