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Simplifying 4(y + 2) + -3(y + -7) = 41 Reorder the terms: 4(2 + y) + -3(y + -7) = 41 (2 * 4 + y * 4) + -3(y + -7) = 41 (8 + 4y) + -3(y + -7) = 41 Reorder the terms: 8 + 4y + -3(-7 + y) = 41 8 + 4y + (-7 * -3 + y * -3) = 41 8 + 4y + (21 + -3y) = 41 Reorder the terms: 8 + 21 + 4y + -3y = 41 Combine like terms: 8 + 21 = 29 29 + 4y + -3y = 41 Combine like terms: 4y + -3y = 1y 29 + 1y = 41 Solving 29 + 1y = 41 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 1y = 41 + -29 Combine like terms: 29 + -29 = 0 0 + 1y = 41 + -29 1y = 41 + -29 Combine like terms: 41 + -29 = 12 1y = 12 Divide each side by '1'. y = 12 Simplifying y = 12
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