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Simplifying 7y + -41 = -8(y + 7) Reorder the terms: -41 + 7y = -8(y + 7) Reorder the terms: -41 + 7y = -8(7 + y) -41 + 7y = (7 * -8 + y * -8) -41 + 7y = (-56 + -8y) Solving -41 + 7y = -56 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -41 + 7y + 8y = -56 + -8y + 8y Combine like terms: 7y + 8y = 15y -41 + 15y = -56 + -8y + 8y Combine like terms: -8y + 8y = 0 -41 + 15y = -56 + 0 -41 + 15y = -56 Add '41' to each side of the equation. -41 + 41 + 15y = -56 + 41 Combine like terms: -41 + 41 = 0 0 + 15y = -56 + 41 15y = -56 + 41 Combine like terms: -56 + 41 = -15 15y = -15 Divide each side by '15'. y = -1 Simplifying y = -1
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