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Simplifying 7(y + -5) = 6(y + 3) Reorder the terms: 7(-5 + y) = 6(y + 3) (-5 * 7 + y * 7) = 6(y + 3) (-35 + 7y) = 6(y + 3) Reorder the terms: -35 + 7y = 6(3 + y) -35 + 7y = (3 * 6 + y * 6) -35 + 7y = (18 + 6y) Solving -35 + 7y = 18 + 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. -35 + 7y + -6y = 18 + 6y + -6y Combine like terms: 7y + -6y = 1y -35 + 1y = 18 + 6y + -6y Combine like terms: 6y + -6y = 0 -35 + 1y = 18 + 0 -35 + 1y = 18 Add '35' to each side of the equation. -35 + 35 + 1y = 18 + 35 Combine like terms: -35 + 35 = 0 0 + 1y = 18 + 35 1y = 18 + 35 Combine like terms: 18 + 35 = 53 1y = 53 Divide each side by '1'. y = 53 Simplifying y = 53
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