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Simplifying 3y + 4(2y + -5) + 8 = 44 Reorder the terms: 3y + 4(-5 + 2y) + 8 = 44 3y + (-5 * 4 + 2y * 4) + 8 = 44 3y + (-20 + 8y) + 8 = 44 Reorder the terms: -20 + 8 + 3y + 8y = 44 Combine like terms: -20 + 8 = -12 -12 + 3y + 8y = 44 Combine like terms: 3y + 8y = 11y -12 + 11y = 44 Solving -12 + 11y = 44 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 11y = 44 + 12 Combine like terms: -12 + 12 = 0 0 + 11y = 44 + 12 11y = 44 + 12 Combine like terms: 44 + 12 = 56 11y = 56 Divide each side by '11'. y = 5.090909091 Simplifying y = 5.090909091
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