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Simplifying 4(y + -5) = 7y + -47 Reorder the terms: 4(-5 + y) = 7y + -47 (-5 * 4 + y * 4) = 7y + -47 (-20 + 4y) = 7y + -47 Reorder the terms: -20 + 4y = -47 + 7y Solving -20 + 4y = -47 + 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. -20 + 4y + -7y = -47 + 7y + -7y Combine like terms: 4y + -7y = -3y -20 + -3y = -47 + 7y + -7y Combine like terms: 7y + -7y = 0 -20 + -3y = -47 + 0 -20 + -3y = -47 Add '20' to each side of the equation. -20 + 20 + -3y = -47 + 20 Combine like terms: -20 + 20 = 0 0 + -3y = -47 + 20 -3y = -47 + 20 Combine like terms: -47 + 20 = -27 -3y = -27 Divide each side by '-3'. y = 9 Simplifying y = 9
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