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Simplifying -72 + 19y + 3 = 5(5y + -3) + -6 Reorder the terms: -72 + 3 + 19y = 5(5y + -3) + -6 Combine like terms: -72 + 3 = -69 -69 + 19y = 5(5y + -3) + -6 Reorder the terms: -69 + 19y = 5(-3 + 5y) + -6 -69 + 19y = (-3 * 5 + 5y * 5) + -6 -69 + 19y = (-15 + 25y) + -6 Reorder the terms: -69 + 19y = -15 + -6 + 25y Combine like terms: -15 + -6 = -21 -69 + 19y = -21 + 25y Solving -69 + 19y = -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. -69 + 19y + -25y = -21 + 25y + -25y Combine like terms: 19y + -25y = -6y -69 + -6y = -21 + 25y + -25y Combine like terms: 25y + -25y = 0 -69 + -6y = -21 + 0 -69 + -6y = -21 Add '69' to each side of the equation. -69 + 69 + -6y = -21 + 69 Combine like terms: -69 + 69 = 0 0 + -6y = -21 + 69 -6y = -21 + 69 Combine like terms: -21 + 69 = 48 -6y = 48 Divide each side by '-6'. y = -8 Simplifying y = -8
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