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Simplifying 3(y + -7) = 2(10 + y) Reorder the terms: 3(-7 + y) = 2(10 + y) (-7 * 3 + y * 3) = 2(10 + y) (-21 + 3y) = 2(10 + y) -21 + 3y = (10 * 2 + y * 2) -21 + 3y = (20 + 2y) Solving -21 + 3y = 20 + 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. -21 + 3y + -2y = 20 + 2y + -2y Combine like terms: 3y + -2y = 1y -21 + 1y = 20 + 2y + -2y Combine like terms: 2y + -2y = 0 -21 + 1y = 20 + 0 -21 + 1y = 20 Add '21' to each side of the equation. -21 + 21 + 1y = 20 + 21 Combine like terms: -21 + 21 = 0 0 + 1y = 20 + 21 1y = 20 + 21 Combine like terms: 20 + 21 = 41 1y = 41 Divide each side by '1'. y = 41 Simplifying y = 41
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