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Simplifying 2(3y + 7) + -3(y + -5) = 21 + 4(1 + 2y) Reorder the terms: 2(7 + 3y) + -3(y + -5) = 21 + 4(1 + 2y) (7 * 2 + 3y * 2) + -3(y + -5) = 21 + 4(1 + 2y) (14 + 6y) + -3(y + -5) = 21 + 4(1 + 2y) Reorder the terms: 14 + 6y + -3(-5 + y) = 21 + 4(1 + 2y) 14 + 6y + (-5 * -3 + y * -3) = 21 + 4(1 + 2y) 14 + 6y + (15 + -3y) = 21 + 4(1 + 2y) Reorder the terms: 14 + 15 + 6y + -3y = 21 + 4(1 + 2y) Combine like terms: 14 + 15 = 29 29 + 6y + -3y = 21 + 4(1 + 2y) Combine like terms: 6y + -3y = 3y 29 + 3y = 21 + 4(1 + 2y) 29 + 3y = 21 + (1 * 4 + 2y * 4) 29 + 3y = 21 + (4 + 8y) Combine like terms: 21 + 4 = 25 29 + 3y = 25 + 8y Solving 29 + 3y = 25 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 29 + 3y + -8y = 25 + 8y + -8y Combine like terms: 3y + -8y = -5y 29 + -5y = 25 + 8y + -8y Combine like terms: 8y + -8y = 0 29 + -5y = 25 + 0 29 + -5y = 25 Add '-29' to each side of the equation. 29 + -29 + -5y = 25 + -29 Combine like terms: 29 + -29 = 0 0 + -5y = 25 + -29 -5y = 25 + -29 Combine like terms: 25 + -29 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8
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