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Simplifying -51 + 23y + 2 = 5(5y + -5) + -6 Reorder the terms: -51 + 2 + 23y = 5(5y + -5) + -6 Combine like terms: -51 + 2 = -49 -49 + 23y = 5(5y + -5) + -6 Reorder the terms: -49 + 23y = 5(-5 + 5y) + -6 -49 + 23y = (-5 * 5 + 5y * 5) + -6 -49 + 23y = (-25 + 25y) + -6 Reorder the terms: -49 + 23y = -25 + -6 + 25y Combine like terms: -25 + -6 = -31 -49 + 23y = -31 + 25y Solving -49 + 23y = -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. -49 + 23y + -25y = -31 + 25y + -25y Combine like terms: 23y + -25y = -2y -49 + -2y = -31 + 25y + -25y Combine like terms: 25y + -25y = 0 -49 + -2y = -31 + 0 -49 + -2y = -31 Add '49' to each side of the equation. -49 + 49 + -2y = -31 + 49 Combine like terms: -49 + 49 = 0 0 + -2y = -31 + 49 -2y = -31 + 49 Combine like terms: -31 + 49 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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