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Simplifying -78 + 19y + 8 = 5(5y + -5) + -9 Reorder the terms: -78 + 8 + 19y = 5(5y + -5) + -9 Combine like terms: -78 + 8 = -70 -70 + 19y = 5(5y + -5) + -9 Reorder the terms: -70 + 19y = 5(-5 + 5y) + -9 -70 + 19y = (-5 * 5 + 5y * 5) + -9 -70 + 19y = (-25 + 25y) + -9 Reorder the terms: -70 + 19y = -25 + -9 + 25y Combine like terms: -25 + -9 = -34 -70 + 19y = -34 + 25y Solving -70 + 19y = -34 + 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. -70 + 19y + -25y = -34 + 25y + -25y Combine like terms: 19y + -25y = -6y -70 + -6y = -34 + 25y + -25y Combine like terms: 25y + -25y = 0 -70 + -6y = -34 + 0 -70 + -6y = -34 Add '70' to each side of the equation. -70 + 70 + -6y = -34 + 70 Combine like terms: -70 + 70 = 0 0 + -6y = -34 + 70 -6y = -34 + 70 Combine like terms: -34 + 70 = 36 -6y = 36 Divide each side by '-6'. y = -6 Simplifying y = -6
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