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Simplifying 3y + -1(4 + -2y) = 5 + 3(y + -2) 3y + (4 * -1 + -2y * -1) = 5 + 3(y + -2) 3y + (-4 + 2y) = 5 + 3(y + -2) Reorder the terms: -4 + 3y + 2y = 5 + 3(y + -2) Combine like terms: 3y + 2y = 5y -4 + 5y = 5 + 3(y + -2) Reorder the terms: -4 + 5y = 5 + 3(-2 + y) -4 + 5y = 5 + (-2 * 3 + y * 3) -4 + 5y = 5 + (-6 + 3y) Combine like terms: 5 + -6 = -1 -4 + 5y = -1 + 3y Solving -4 + 5y = -1 + 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. -4 + 5y + -3y = -1 + 3y + -3y Combine like terms: 5y + -3y = 2y -4 + 2y = -1 + 3y + -3y Combine like terms: 3y + -3y = 0 -4 + 2y = -1 + 0 -4 + 2y = -1 Add '4' to each side of the equation. -4 + 4 + 2y = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = -1 + 4 2y = -1 + 4 Combine like terms: -1 + 4 = 3 2y = 3 Divide each side by '2'. y = 1.5 Simplifying y = 1.5
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