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Simplifying -53 + 22y + 9 = 5(5y + -2) + -7 Reorder the terms: -53 + 9 + 22y = 5(5y + -2) + -7 Combine like terms: -53 + 9 = -44 -44 + 22y = 5(5y + -2) + -7 Reorder the terms: -44 + 22y = 5(-2 + 5y) + -7 -44 + 22y = (-2 * 5 + 5y * 5) + -7 -44 + 22y = (-10 + 25y) + -7 Reorder the terms: -44 + 22y = -10 + -7 + 25y Combine like terms: -10 + -7 = -17 -44 + 22y = -17 + 25y Solving -44 + 22y = -17 + 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. -44 + 22y + -25y = -17 + 25y + -25y Combine like terms: 22y + -25y = -3y -44 + -3y = -17 + 25y + -25y Combine like terms: 25y + -25y = 0 -44 + -3y = -17 + 0 -44 + -3y = -17 Add '44' to each side of the equation. -44 + 44 + -3y = -17 + 44 Combine like terms: -44 + 44 = 0 0 + -3y = -17 + 44 -3y = -17 + 44 Combine like terms: -17 + 44 = 27 -3y = 27 Divide each side by '-3'. y = -9 Simplifying y = -9
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