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Simplifying 7(y + -3) = 2y + -41 Reorder the terms: 7(-3 + y) = 2y + -41 (-3 * 7 + y * 7) = 2y + -41 (-21 + 7y) = 2y + -41 Reorder the terms: -21 + 7y = -41 + 2y Solving -21 + 7y = -41 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -21 + 7y + -2y = -41 + 2y + -2y Combine like terms: 7y + -2y = 5y -21 + 5y = -41 + 2y + -2y Combine like terms: 2y + -2y = 0 -21 + 5y = -41 + 0 -21 + 5y = -41 Add '21' to each side of the equation. -21 + 21 + 5y = -41 + 21 Combine like terms: -21 + 21 = 0 0 + 5y = -41 + 21 5y = -41 + 21 Combine like terms: -41 + 21 = -20 5y = -20 Divide each side by '5'. y = -4 Simplifying y = -4
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