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Simplifying 8(y + -7) = -2y + 44 Reorder the terms: 8(-7 + y) = -2y + 44 (-7 * 8 + y * 8) = -2y + 44 (-56 + 8y) = -2y + 44 Reorder the terms: -56 + 8y = 44 + -2y Solving -56 + 8y = 44 + -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. -56 + 8y + 2y = 44 + -2y + 2y Combine like terms: 8y + 2y = 10y -56 + 10y = 44 + -2y + 2y Combine like terms: -2y + 2y = 0 -56 + 10y = 44 + 0 -56 + 10y = 44 Add '56' to each side of the equation. -56 + 56 + 10y = 44 + 56 Combine like terms: -56 + 56 = 0 0 + 10y = 44 + 56 10y = 44 + 56 Combine like terms: 44 + 56 = 100 10y = 100 Divide each side by '10'. y = 10 Simplifying y = 10
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