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Simplifying 3y + -5 + 2(3y + 1) = -5(y + 2) Reorder the terms: 3y + -5 + 2(1 + 3y) = -5(y + 2) 3y + -5 + (1 * 2 + 3y * 2) = -5(y + 2) 3y + -5 + (2 + 6y) = -5(y + 2) Reorder the terms: -5 + 2 + 3y + 6y = -5(y + 2) Combine like terms: -5 + 2 = -3 -3 + 3y + 6y = -5(y + 2) Combine like terms: 3y + 6y = 9y -3 + 9y = -5(y + 2) Reorder the terms: -3 + 9y = -5(2 + y) -3 + 9y = (2 * -5 + y * -5) -3 + 9y = (-10 + -5y) Solving -3 + 9y = -10 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -3 + 9y + 5y = -10 + -5y + 5y Combine like terms: 9y + 5y = 14y -3 + 14y = -10 + -5y + 5y Combine like terms: -5y + 5y = 0 -3 + 14y = -10 + 0 -3 + 14y = -10 Add '3' to each side of the equation. -3 + 3 + 14y = -10 + 3 Combine like terms: -3 + 3 = 0 0 + 14y = -10 + 3 14y = -10 + 3 Combine like terms: -10 + 3 = -7 14y = -7 Divide each side by '14'. y = -0.5 Simplifying y = -0.5
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