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Simplifying 7(9 + -1y) = 5(3y + -5) (9 * 7 + -1y * 7) = 5(3y + -5) (63 + -7y) = 5(3y + -5) Reorder the terms: 63 + -7y = 5(-5 + 3y) 63 + -7y = (-5 * 5 + 3y * 5) 63 + -7y = (-25 + 15y) Solving 63 + -7y = -25 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 63 + -7y + -15y = -25 + 15y + -15y Combine like terms: -7y + -15y = -22y 63 + -22y = -25 + 15y + -15y Combine like terms: 15y + -15y = 0 63 + -22y = -25 + 0 63 + -22y = -25 Add '-63' to each side of the equation. 63 + -63 + -22y = -25 + -63 Combine like terms: 63 + -63 = 0 0 + -22y = -25 + -63 -22y = -25 + -63 Combine like terms: -25 + -63 = -88 -22y = -88 Divide each side by '-22'. y = 4 Simplifying y = 4
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