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Simplifying -44 + 5y + 4 = 3(3y + -5) + -5 Reorder the terms: -44 + 4 + 5y = 3(3y + -5) + -5 Combine like terms: -44 + 4 = -40 -40 + 5y = 3(3y + -5) + -5 Reorder the terms: -40 + 5y = 3(-5 + 3y) + -5 -40 + 5y = (-5 * 3 + 3y * 3) + -5 -40 + 5y = (-15 + 9y) + -5 Reorder the terms: -40 + 5y = -15 + -5 + 9y Combine like terms: -15 + -5 = -20 -40 + 5y = -20 + 9y Solving -40 + 5y = -20 + 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. -40 + 5y + -9y = -20 + 9y + -9y Combine like terms: 5y + -9y = -4y -40 + -4y = -20 + 9y + -9y Combine like terms: 9y + -9y = 0 -40 + -4y = -20 + 0 -40 + -4y = -20 Add '40' to each side of the equation. -40 + 40 + -4y = -20 + 40 Combine like terms: -40 + 40 = 0 0 + -4y = -20 + 40 -4y = -20 + 40 Combine like terms: -20 + 40 = 20 -4y = 20 Divide each side by '-4'. y = -5 Simplifying y = -5
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