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Simplifying 3(2y + -2) + -3 = 5y + 1 Reorder the terms: 3(-2 + 2y) + -3 = 5y + 1 (-2 * 3 + 2y * 3) + -3 = 5y + 1 (-6 + 6y) + -3 = 5y + 1 Reorder the terms: -6 + -3 + 6y = 5y + 1 Combine like terms: -6 + -3 = -9 -9 + 6y = 5y + 1 Reorder the terms: -9 + 6y = 1 + 5y Solving -9 + 6y = 1 + 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. -9 + 6y + -5y = 1 + 5y + -5y Combine like terms: 6y + -5y = 1y -9 + 1y = 1 + 5y + -5y Combine like terms: 5y + -5y = 0 -9 + 1y = 1 + 0 -9 + 1y = 1 Add '9' to each side of the equation. -9 + 9 + 1y = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 1y = 1 + 9 1y = 1 + 9 Combine like terms: 1 + 9 = 10 1y = 10 Divide each side by '1'. y = 10 Simplifying y = 10
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