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Simplifying 7(2y + -5) = 3y + 20 Reorder the terms: 7(-5 + 2y) = 3y + 20 (-5 * 7 + 2y * 7) = 3y + 20 (-35 + 14y) = 3y + 20 Reorder the terms: -35 + 14y = 20 + 3y Solving -35 + 14y = 20 + 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. -35 + 14y + -3y = 20 + 3y + -3y Combine like terms: 14y + -3y = 11y -35 + 11y = 20 + 3y + -3y Combine like terms: 3y + -3y = 0 -35 + 11y = 20 + 0 -35 + 11y = 20 Add '35' to each side of the equation. -35 + 35 + 11y = 20 + 35 Combine like terms: -35 + 35 = 0 0 + 11y = 20 + 35 11y = 20 + 35 Combine like terms: 20 + 35 = 55 11y = 55 Divide each side by '11'. y = 5 Simplifying y = 5
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