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Simplifying -7y + 41 = -3(y + -3) Reorder the terms: 41 + -7y = -3(y + -3) Reorder the terms: 41 + -7y = -3(-3 + y) 41 + -7y = (-3 * -3 + y * -3) 41 + -7y = (9 + -3y) Solving 41 + -7y = 9 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 41 + -7y + 3y = 9 + -3y + 3y Combine like terms: -7y + 3y = -4y 41 + -4y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 41 + -4y = 9 + 0 41 + -4y = 9 Add '-41' to each side of the equation. 41 + -41 + -4y = 9 + -41 Combine like terms: 41 + -41 = 0 0 + -4y = 9 + -41 -4y = 9 + -41 Combine like terms: 9 + -41 = -32 -4y = -32 Divide each side by '-4'. y = 8 Simplifying y = 8
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