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Simplifying 3(y + 2) + -2(2y + -2) = 10 Reorder the terms: 3(2 + y) + -2(2y + -2) = 10 (2 * 3 + y * 3) + -2(2y + -2) = 10 (6 + 3y) + -2(2y + -2) = 10 Reorder the terms: 6 + 3y + -2(-2 + 2y) = 10 6 + 3y + (-2 * -2 + 2y * -2) = 10 6 + 3y + (4 + -4y) = 10 Reorder the terms: 6 + 4 + 3y + -4y = 10 Combine like terms: 6 + 4 = 10 10 + 3y + -4y = 10 Combine like terms: 3y + -4y = -1y 10 + -1y = 10 Add '-10' to each side of the equation. 10 + -10 + -1y = 10 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 10 + -10 -1y = 10 + -10 Combine like terms: 10 + -10 = 0 -1y = 0 Solving -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '-1'. y = 0 Simplifying y = 0
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