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Simplifying -47 + 6y + 3 = 3(3y + -5) + -8 Reorder the terms: -47 + 3 + 6y = 3(3y + -5) + -8 Combine like terms: -47 + 3 = -44 -44 + 6y = 3(3y + -5) + -8 Reorder the terms: -44 + 6y = 3(-5 + 3y) + -8 -44 + 6y = (-5 * 3 + 3y * 3) + -8 -44 + 6y = (-15 + 9y) + -8 Reorder the terms: -44 + 6y = -15 + -8 + 9y Combine like terms: -15 + -8 = -23 -44 + 6y = -23 + 9y Solving -44 + 6y = -23 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -44 + 6y + -9y = -23 + 9y + -9y Combine like terms: 6y + -9y = -3y -44 + -3y = -23 + 9y + -9y Combine like terms: 9y + -9y = 0 -44 + -3y = -23 + 0 -44 + -3y = -23 Add '44' to each side of the equation. -44 + 44 + -3y = -23 + 44 Combine like terms: -44 + 44 = 0 0 + -3y = -23 + 44 -3y = -23 + 44 Combine like terms: -23 + 44 = 21 -3y = 21 Divide each side by '-3'. y = -7 Simplifying y = -7
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