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Simplifying 2(5y + -8) + -4 = 3y + 8 Reorder the terms: 2(-8 + 5y) + -4 = 3y + 8 (-8 * 2 + 5y * 2) + -4 = 3y + 8 (-16 + 10y) + -4 = 3y + 8 Reorder the terms: -16 + -4 + 10y = 3y + 8 Combine like terms: -16 + -4 = -20 -20 + 10y = 3y + 8 Reorder the terms: -20 + 10y = 8 + 3y Solving -20 + 10y = 8 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -20 + 10y + -3y = 8 + 3y + -3y Combine like terms: 10y + -3y = 7y -20 + 7y = 8 + 3y + -3y Combine like terms: 3y + -3y = 0 -20 + 7y = 8 + 0 -20 + 7y = 8 Add '20' to each side of the equation. -20 + 20 + 7y = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 7y = 8 + 20 7y = 8 + 20 Combine like terms: 8 + 20 = 28 7y = 28 Divide each side by '7'. y = 4 Simplifying y = 4
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