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Simplifying -8(y + 7) = 7y + 49 Reorder the terms: -8(7 + y) = 7y + 49 (7 * -8 + y * -8) = 7y + 49 (-56 + -8y) = 7y + 49 Reorder the terms: -56 + -8y = 49 + 7y Solving -56 + -8y = 49 + 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. -56 + -8y + -7y = 49 + 7y + -7y Combine like terms: -8y + -7y = -15y -56 + -15y = 49 + 7y + -7y Combine like terms: 7y + -7y = 0 -56 + -15y = 49 + 0 -56 + -15y = 49 Add '56' to each side of the equation. -56 + 56 + -15y = 49 + 56 Combine like terms: -56 + 56 = 0 0 + -15y = 49 + 56 -15y = 49 + 56 Combine like terms: 49 + 56 = 105 -15y = 105 Divide each side by '-15'. y = -7 Simplifying y = -7
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