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Simplifying 5(y + -7) = 8y + -47 Reorder the terms: 5(-7 + y) = 8y + -47 (-7 * 5 + y * 5) = 8y + -47 (-35 + 5y) = 8y + -47 Reorder the terms: -35 + 5y = -47 + 8y Solving -35 + 5y = -47 + 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. -35 + 5y + -8y = -47 + 8y + -8y Combine like terms: 5y + -8y = -3y -35 + -3y = -47 + 8y + -8y Combine like terms: 8y + -8y = 0 -35 + -3y = -47 + 0 -35 + -3y = -47 Add '35' to each side of the equation. -35 + 35 + -3y = -47 + 35 Combine like terms: -35 + 35 = 0 0 + -3y = -47 + 35 -3y = -47 + 35 Combine like terms: -47 + 35 = -12 -3y = -12 Divide each side by '-3'. y = 4 Simplifying y = 4
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