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Simplifying -49 + 22y + 7 = 5(5y + -5) + -2 Reorder the terms: -49 + 7 + 22y = 5(5y + -5) + -2 Combine like terms: -49 + 7 = -42 -42 + 22y = 5(5y + -5) + -2 Reorder the terms: -42 + 22y = 5(-5 + 5y) + -2 -42 + 22y = (-5 * 5 + 5y * 5) + -2 -42 + 22y = (-25 + 25y) + -2 Reorder the terms: -42 + 22y = -25 + -2 + 25y Combine like terms: -25 + -2 = -27 -42 + 22y = -27 + 25y Solving -42 + 22y = -27 + 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. -42 + 22y + -25y = -27 + 25y + -25y Combine like terms: 22y + -25y = -3y -42 + -3y = -27 + 25y + -25y Combine like terms: 25y + -25y = 0 -42 + -3y = -27 + 0 -42 + -3y = -27 Add '42' to each side of the equation. -42 + 42 + -3y = -27 + 42 Combine like terms: -42 + 42 = 0 0 + -3y = -27 + 42 -3y = -27 + 42 Combine like terms: -27 + 42 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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