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Simplifying 5(y + 4) + -2(1 + -37) = 11y + -7 Reorder the terms: 5(4 + y) + -2(1 + -37) = 11y + -7 (4 * 5 + y * 5) + -2(1 + -37) = 11y + -7 (20 + 5y) + -2(1 + -37) = 11y + -7 Combine like terms: 1 + -37 = -36 20 + 5y + -2(-36) = 11y + -7 Multiply -2 * -36 20 + 5y + 72 = 11y + -7 Reorder the terms: 20 + 72 + 5y = 11y + -7 Combine like terms: 20 + 72 = 92 92 + 5y = 11y + -7 Reorder the terms: 92 + 5y = -7 + 11y Solving 92 + 5y = -7 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 92 + 5y + -11y = -7 + 11y + -11y Combine like terms: 5y + -11y = -6y 92 + -6y = -7 + 11y + -11y Combine like terms: 11y + -11y = 0 92 + -6y = -7 + 0 92 + -6y = -7 Add '-92' to each side of the equation. 92 + -92 + -6y = -7 + -92 Combine like terms: 92 + -92 = 0 0 + -6y = -7 + -92 -6y = -7 + -92 Combine like terms: -7 + -92 = -99 -6y = -99 Divide each side by '-6'. y = 16.5 Simplifying y = 16.5
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