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Simplifying -13y + -13 + 20y + -35 = 6y + -24 + 14 Reorder the terms: -13 + -35 + -13y + 20y = 6y + -24 + 14 Combine like terms: -13 + -35 = -48 -48 + -13y + 20y = 6y + -24 + 14 Combine like terms: -13y + 20y = 7y -48 + 7y = 6y + -24 + 14 Reorder the terms: -48 + 7y = -24 + 14 + 6y Combine like terms: -24 + 14 = -10 -48 + 7y = -10 + 6y Solving -48 + 7y = -10 + 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. -48 + 7y + -6y = -10 + 6y + -6y Combine like terms: 7y + -6y = 1y -48 + 1y = -10 + 6y + -6y Combine like terms: 6y + -6y = 0 -48 + 1y = -10 + 0 -48 + 1y = -10 Add '48' to each side of the equation. -48 + 48 + 1y = -10 + 48 Combine like terms: -48 + 48 = 0 0 + 1y = -10 + 48 1y = -10 + 48 Combine like terms: -10 + 48 = 38 1y = 38 Divide each side by '1'. y = 38 Simplifying y = 38
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