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Simplifying 6(y + -5) = (10 + 3y) Reorder the terms: 6(-5 + y) = (10 + 3y) (-5 * 6 + y * 6) = (10 + 3y) (-30 + 6y) = (10 + 3y) Remove parenthesis around (10 + 3y) -30 + 6y = 10 + 3y Solving -30 + 6y = 10 + 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. -30 + 6y + -3y = 10 + 3y + -3y Combine like terms: 6y + -3y = 3y -30 + 3y = 10 + 3y + -3y Combine like terms: 3y + -3y = 0 -30 + 3y = 10 + 0 -30 + 3y = 10 Add '30' to each side of the equation. -30 + 30 + 3y = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 3y = 10 + 30 3y = 10 + 30 Combine like terms: 10 + 30 = 40 3y = 40 Divide each side by '3'. y = 13.33333333 Simplifying y = 13.33333333
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