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Simplifying 3y + -4(y + -2) = 15 + -3(y + -2) Reorder the terms: 3y + -4(-2 + y) = 15 + -3(y + -2) 3y + (-2 * -4 + y * -4) = 15 + -3(y + -2) 3y + (8 + -4y) = 15 + -3(y + -2) Reorder the terms: 8 + 3y + -4y = 15 + -3(y + -2) Combine like terms: 3y + -4y = -1y 8 + -1y = 15 + -3(y + -2) Reorder the terms: 8 + -1y = 15 + -3(-2 + y) 8 + -1y = 15 + (-2 * -3 + y * -3) 8 + -1y = 15 + (6 + -3y) Combine like terms: 15 + 6 = 21 8 + -1y = 21 + -3y Solving 8 + -1y = 21 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 8 + -1y + 3y = 21 + -3y + 3y Combine like terms: -1y + 3y = 2y 8 + 2y = 21 + -3y + 3y Combine like terms: -3y + 3y = 0 8 + 2y = 21 + 0 8 + 2y = 21 Add '-8' to each side of the equation. 8 + -8 + 2y = 21 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = 21 + -8 2y = 21 + -8 Combine like terms: 21 + -8 = 13 2y = 13 Divide each side by '2'. y = 6.5 Simplifying y = 6.5
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