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Simplifying 4y + 9 = 13 + -2(y + -3) Reorder the terms: 9 + 4y = 13 + -2(y + -3) Reorder the terms: 9 + 4y = 13 + -2(-3 + y) 9 + 4y = 13 + (-3 * -2 + y * -2) 9 + 4y = 13 + (6 + -2y) Combine like terms: 13 + 6 = 19 9 + 4y = 19 + -2y Solving 9 + 4y = 19 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 9 + 4y + 2y = 19 + -2y + 2y Combine like terms: 4y + 2y = 6y 9 + 6y = 19 + -2y + 2y Combine like terms: -2y + 2y = 0 9 + 6y = 19 + 0 9 + 6y = 19 Add '-9' to each side of the equation. 9 + -9 + 6y = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 6y = 19 + -9 6y = 19 + -9 Combine like terms: 19 + -9 = 10 6y = 10 Divide each side by '6'. y = 1.666666667 Simplifying y = 1.666666667
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