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Simplifying 3(3 + -2y) + y = y + -5(y + 2) (3 * 3 + -2y * 3) + y = y + -5(y + 2) (9 + -6y) + y = y + -5(y + 2) Combine like terms: -6y + y = -5y 9 + -5y = y + -5(y + 2) Reorder the terms: 9 + -5y = y + -5(2 + y) 9 + -5y = y + (2 * -5 + y * -5) 9 + -5y = y + (-10 + -5y) Reorder the terms: 9 + -5y = -10 + y + -5y Combine like terms: y + -5y = -4y 9 + -5y = -10 + -4y Solving 9 + -5y = -10 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 9 + -5y + 4y = -10 + -4y + 4y Combine like terms: -5y + 4y = -1y 9 + -1y = -10 + -4y + 4y Combine like terms: -4y + 4y = 0 9 + -1y = -10 + 0 9 + -1y = -10 Add '-9' to each side of the equation. 9 + -9 + -1y = -10 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = -10 + -9 -1y = -10 + -9 Combine like terms: -10 + -9 = -19 -1y = -19 Divide each side by '-1'. y = 19 Simplifying y = 19
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