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Simplifying -44 + 16y + 5 = 5(4y + -4) + -3 Reorder the terms: -44 + 5 + 16y = 5(4y + -4) + -3 Combine like terms: -44 + 5 = -39 -39 + 16y = 5(4y + -4) + -3 Reorder the terms: -39 + 16y = 5(-4 + 4y) + -3 -39 + 16y = (-4 * 5 + 4y * 5) + -3 -39 + 16y = (-20 + 20y) + -3 Reorder the terms: -39 + 16y = -20 + -3 + 20y Combine like terms: -20 + -3 = -23 -39 + 16y = -23 + 20y Solving -39 + 16y = -23 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -39 + 16y + -20y = -23 + 20y + -20y Combine like terms: 16y + -20y = -4y -39 + -4y = -23 + 20y + -20y Combine like terms: 20y + -20y = 0 -39 + -4y = -23 + 0 -39 + -4y = -23 Add '39' to each side of the equation. -39 + 39 + -4y = -23 + 39 Combine like terms: -39 + 39 = 0 0 + -4y = -23 + 39 -4y = -23 + 39 Combine like terms: -23 + 39 = 16 -4y = 16 Divide each side by '-4'. y = -4 Simplifying y = -4
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