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Simplifying 9y + -41 = 7(y + -3) Reorder the terms: -41 + 9y = 7(y + -3) Reorder the terms: -41 + 9y = 7(-3 + y) -41 + 9y = (-3 * 7 + y * 7) -41 + 9y = (-21 + 7y) Solving -41 + 9y = -21 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -41 + 9y + -7y = -21 + 7y + -7y Combine like terms: 9y + -7y = 2y -41 + 2y = -21 + 7y + -7y Combine like terms: 7y + -7y = 0 -41 + 2y = -21 + 0 -41 + 2y = -21 Add '41' to each side of the equation. -41 + 41 + 2y = -21 + 41 Combine like terms: -41 + 41 = 0 0 + 2y = -21 + 41 2y = -21 + 41 Combine like terms: -21 + 41 = 20 2y = 20 Divide each side by '2'. y = 10 Simplifying y = 10
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