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Simplifying -74 + 20y + 8 = 5(5y + -5) + -6 Reorder the terms: -74 + 8 + 20y = 5(5y + -5) + -6 Combine like terms: -74 + 8 = -66 -66 + 20y = 5(5y + -5) + -6 Reorder the terms: -66 + 20y = 5(-5 + 5y) + -6 -66 + 20y = (-5 * 5 + 5y * 5) + -6 -66 + 20y = (-25 + 25y) + -6 Reorder the terms: -66 + 20y = -25 + -6 + 25y Combine like terms: -25 + -6 = -31 -66 + 20y = -31 + 25y Solving -66 + 20y = -31 + 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. -66 + 20y + -25y = -31 + 25y + -25y Combine like terms: 20y + -25y = -5y -66 + -5y = -31 + 25y + -25y Combine like terms: 25y + -25y = 0 -66 + -5y = -31 + 0 -66 + -5y = -31 Add '66' to each side of the equation. -66 + 66 + -5y = -31 + 66 Combine like terms: -66 + 66 = 0 0 + -5y = -31 + 66 -5y = -31 + 66 Combine like terms: -31 + 66 = 35 -5y = 35 Divide each side by '-5'. y = -7 Simplifying y = -7
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