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Simplifying 5(2y + -4) = 8 + 6y Reorder the terms: 5(-4 + 2y) = 8 + 6y (-4 * 5 + 2y * 5) = 8 + 6y (-20 + 10y) = 8 + 6y Solving -20 + 10y = 8 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -20 + 10y + -6y = 8 + 6y + -6y Combine like terms: 10y + -6y = 4y -20 + 4y = 8 + 6y + -6y Combine like terms: 6y + -6y = 0 -20 + 4y = 8 + 0 -20 + 4y = 8 Add '20' to each side of the equation. -20 + 20 + 4y = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 4y = 8 + 20 4y = 8 + 20 Combine like terms: 8 + 20 = 28 4y = 28 Divide each side by '4'. y = 7 Simplifying y = 7
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