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Simplifying -49 + 20y + 6 = 5(5y + -3) + -8 Reorder the terms: -49 + 6 + 20y = 5(5y + -3) + -8 Combine like terms: -49 + 6 = -43 -43 + 20y = 5(5y + -3) + -8 Reorder the terms: -43 + 20y = 5(-3 + 5y) + -8 -43 + 20y = (-3 * 5 + 5y * 5) + -8 -43 + 20y = (-15 + 25y) + -8 Reorder the terms: -43 + 20y = -15 + -8 + 25y Combine like terms: -15 + -8 = -23 -43 + 20y = -23 + 25y Solving -43 + 20y = -23 + 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. -43 + 20y + -25y = -23 + 25y + -25y Combine like terms: 20y + -25y = -5y -43 + -5y = -23 + 25y + -25y Combine like terms: 25y + -25y = 0 -43 + -5y = -23 + 0 -43 + -5y = -23 Add '43' to each side of the equation. -43 + 43 + -5y = -23 + 43 Combine like terms: -43 + 43 = 0 0 + -5y = -23 + 43 -5y = -23 + 43 Combine like terms: -23 + 43 = 20 -5y = 20 Divide each side by '-5'. y = -4 Simplifying y = -4
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