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Simplifying 4y + 15 + -5y + 3 = 6y + 19 + -9y + -5 Reorder the terms: 15 + 3 + 4y + -5y = 6y + 19 + -9y + -5 Combine like terms: 15 + 3 = 18 18 + 4y + -5y = 6y + 19 + -9y + -5 Combine like terms: 4y + -5y = -1y 18 + -1y = 6y + 19 + -9y + -5 Reorder the terms: 18 + -1y = 19 + -5 + 6y + -9y Combine like terms: 19 + -5 = 14 18 + -1y = 14 + 6y + -9y Combine like terms: 6y + -9y = -3y 18 + -1y = 14 + -3y Solving 18 + -1y = 14 + -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. 18 + -1y + 3y = 14 + -3y + 3y Combine like terms: -1y + 3y = 2y 18 + 2y = 14 + -3y + 3y Combine like terms: -3y + 3y = 0 18 + 2y = 14 + 0 18 + 2y = 14 Add '-18' to each side of the equation. 18 + -18 + 2y = 14 + -18 Combine like terms: 18 + -18 = 0 0 + 2y = 14 + -18 2y = 14 + -18 Combine like terms: 14 + -18 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
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