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Simplifying -71 + 15y + 3 = 5(5y + -4) + -8 Reorder the terms: -71 + 3 + 15y = 5(5y + -4) + -8 Combine like terms: -71 + 3 = -68 -68 + 15y = 5(5y + -4) + -8 Reorder the terms: -68 + 15y = 5(-4 + 5y) + -8 -68 + 15y = (-4 * 5 + 5y * 5) + -8 -68 + 15y = (-20 + 25y) + -8 Reorder the terms: -68 + 15y = -20 + -8 + 25y Combine like terms: -20 + -8 = -28 -68 + 15y = -28 + 25y Solving -68 + 15y = -28 + 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. -68 + 15y + -25y = -28 + 25y + -25y Combine like terms: 15y + -25y = -10y -68 + -10y = -28 + 25y + -25y Combine like terms: 25y + -25y = 0 -68 + -10y = -28 + 0 -68 + -10y = -28 Add '68' to each side of the equation. -68 + 68 + -10y = -28 + 68 Combine like terms: -68 + 68 = 0 0 + -10y = -28 + 68 -10y = -28 + 68 Combine like terms: -28 + 68 = 40 -10y = 40 Divide each side by '-10'. y = -4 Simplifying y = -4
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