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Simplifying 2(3y + -3) + -5 = 5y + 2 Reorder the terms: 2(-3 + 3y) + -5 = 5y + 2 (-3 * 2 + 3y * 2) + -5 = 5y + 2 (-6 + 6y) + -5 = 5y + 2 Reorder the terms: -6 + -5 + 6y = 5y + 2 Combine like terms: -6 + -5 = -11 -11 + 6y = 5y + 2 Reorder the terms: -11 + 6y = 2 + 5y Solving -11 + 6y = 2 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -11 + 6y + -5y = 2 + 5y + -5y Combine like terms: 6y + -5y = 1y -11 + 1y = 2 + 5y + -5y Combine like terms: 5y + -5y = 0 -11 + 1y = 2 + 0 -11 + 1y = 2 Add '11' to each side of the equation. -11 + 11 + 1y = 2 + 11 Combine like terms: -11 + 11 = 0 0 + 1y = 2 + 11 1y = 2 + 11 Combine like terms: 2 + 11 = 13 1y = 13 Divide each side by '1'. y = 13 Simplifying y = 13
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