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Simplifying 5(2y + -4) = 7y + 1 Reorder the terms: 5(-4 + 2y) = 7y + 1 (-4 * 5 + 2y * 5) = 7y + 1 (-20 + 10y) = 7y + 1 Reorder the terms: -20 + 10y = 1 + 7y Solving -20 + 10y = 1 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -20 + 10y + -7y = 1 + 7y + -7y Combine like terms: 10y + -7y = 3y -20 + 3y = 1 + 7y + -7y Combine like terms: 7y + -7y = 0 -20 + 3y = 1 + 0 -20 + 3y = 1 Add '20' to each side of the equation. -20 + 20 + 3y = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 3y = 1 + 20 3y = 1 + 20 Combine like terms: 1 + 20 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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