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Simplifying 2 + -3(5y + -8) = -5(-5y + 5) + 4 Reorder the terms: 2 + -3(-8 + 5y) = -5(-5y + 5) + 4 2 + (-8 * -3 + 5y * -3) = -5(-5y + 5) + 4 2 + (24 + -15y) = -5(-5y + 5) + 4 Combine like terms: 2 + 24 = 26 26 + -15y = -5(-5y + 5) + 4 Reorder the terms: 26 + -15y = -5(5 + -5y) + 4 26 + -15y = (5 * -5 + -5y * -5) + 4 26 + -15y = (-25 + 25y) + 4 Reorder the terms: 26 + -15y = -25 + 4 + 25y Combine like terms: -25 + 4 = -21 26 + -15y = -21 + 25y Solving 26 + -15y = -21 + 25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25y' to each side of the equation. 26 + -15y + -25y = -21 + 25y + -25y Combine like terms: -15y + -25y = -40y 26 + -40y = -21 + 25y + -25y Combine like terms: 25y + -25y = 0 26 + -40y = -21 + 0 26 + -40y = -21 Add '-26' to each side of the equation. 26 + -26 + -40y = -21 + -26 Combine like terms: 26 + -26 = 0 0 + -40y = -21 + -26 -40y = -21 + -26 Combine like terms: -21 + -26 = -47 -40y = -47 Divide each side by '-40'. y = 1.175 Simplifying y = 1.175
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