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Simplifying 5(y + 2) + 3(y + -4) = 0 Reorder the terms: 5(2 + y) + 3(y + -4) = 0 (2 * 5 + y * 5) + 3(y + -4) = 0 (10 + 5y) + 3(y + -4) = 0 Reorder the terms: 10 + 5y + 3(-4 + y) = 0 10 + 5y + (-4 * 3 + y * 3) = 0 10 + 5y + (-12 + 3y) = 0 Reorder the terms: 10 + -12 + 5y + 3y = 0 Combine like terms: 10 + -12 = -2 -2 + 5y + 3y = 0 Combine like terms: 5y + 3y = 8y -2 + 8y = 0 Solving -2 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 8y = 0 + 2 8y = 0 + 2 Combine like terms: 0 + 2 = 2 8y = 2 Divide each side by '8'. y = 0.25 Simplifying y = 0.25
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