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Simplifying -1(6y + 27) + -15y = 16y + -1(-15y + 29) + 10 Reorder the terms: -1(27 + 6y) + -15y = 16y + -1(-15y + 29) + 10 (27 * -1 + 6y * -1) + -15y = 16y + -1(-15y + 29) + 10 (-27 + -6y) + -15y = 16y + -1(-15y + 29) + 10 Combine like terms: -6y + -15y = -21y -27 + -21y = 16y + -1(-15y + 29) + 10 Reorder the terms: -27 + -21y = 16y + -1(29 + -15y) + 10 -27 + -21y = 16y + (29 * -1 + -15y * -1) + 10 -27 + -21y = 16y + (-29 + 15y) + 10 Reorder the terms: -27 + -21y = -29 + 10 + 16y + 15y Combine like terms: -29 + 10 = -19 -27 + -21y = -19 + 16y + 15y Combine like terms: 16y + 15y = 31y -27 + -21y = -19 + 31y Solving -27 + -21y = -19 + 31y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-31y' to each side of the equation. -27 + -21y + -31y = -19 + 31y + -31y Combine like terms: -21y + -31y = -52y -27 + -52y = -19 + 31y + -31y Combine like terms: 31y + -31y = 0 -27 + -52y = -19 + 0 -27 + -52y = -19 Add '27' to each side of the equation. -27 + 27 + -52y = -19 + 27 Combine like terms: -27 + 27 = 0 0 + -52y = -19 + 27 -52y = -19 + 27 Combine like terms: -19 + 27 = 8 -52y = 8 Divide each side by '-52'. y = -0.1538461538 Simplifying y = -0.1538461538
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