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Simplifying -8(y + -7) = 5y + 43 Reorder the terms: -8(-7 + y) = 5y + 43 (-7 * -8 + y * -8) = 5y + 43 (56 + -8y) = 5y + 43 Reorder the terms: 56 + -8y = 43 + 5y Solving 56 + -8y = 43 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 56 + -8y + -5y = 43 + 5y + -5y Combine like terms: -8y + -5y = -13y 56 + -13y = 43 + 5y + -5y Combine like terms: 5y + -5y = 0 56 + -13y = 43 + 0 56 + -13y = 43 Add '-56' to each side of the equation. 56 + -56 + -13y = 43 + -56 Combine like terms: 56 + -56 = 0 0 + -13y = 43 + -56 -13y = 43 + -56 Combine like terms: 43 + -56 = -13 -13y = -13 Divide each side by '-13'. y = 1 Simplifying y = 1
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