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Simplifying 3(y + -2) + 3 = 2(y + 2) + 8 Reorder the terms: 3(-2 + y) + 3 = 2(y + 2) + 8 (-2 * 3 + y * 3) + 3 = 2(y + 2) + 8 (-6 + 3y) + 3 = 2(y + 2) + 8 Reorder the terms: -6 + 3 + 3y = 2(y + 2) + 8 Combine like terms: -6 + 3 = -3 -3 + 3y = 2(y + 2) + 8 Reorder the terms: -3 + 3y = 2(2 + y) + 8 -3 + 3y = (2 * 2 + y * 2) + 8 -3 + 3y = (4 + 2y) + 8 Reorder the terms: -3 + 3y = 4 + 8 + 2y Combine like terms: 4 + 8 = 12 -3 + 3y = 12 + 2y Solving -3 + 3y = 12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -3 + 3y + -2y = 12 + 2y + -2y Combine like terms: 3y + -2y = 1y -3 + 1y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 -3 + 1y = 12 + 0 -3 + 1y = 12 Add '3' to each side of the equation. -3 + 3 + 1y = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 1y = 12 + 3 1y = 12 + 3 Combine like terms: 12 + 3 = 15 1y = 15 Divide each side by '1'. y = 15 Simplifying y = 15
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