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Simplifying -77 + 14y + 6 = 5(4y + -3) + -8 Reorder the terms: -77 + 6 + 14y = 5(4y + -3) + -8 Combine like terms: -77 + 6 = -71 -71 + 14y = 5(4y + -3) + -8 Reorder the terms: -71 + 14y = 5(-3 + 4y) + -8 -71 + 14y = (-3 * 5 + 4y * 5) + -8 -71 + 14y = (-15 + 20y) + -8 Reorder the terms: -71 + 14y = -15 + -8 + 20y Combine like terms: -15 + -8 = -23 -71 + 14y = -23 + 20y Solving -71 + 14y = -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. -71 + 14y + -20y = -23 + 20y + -20y Combine like terms: 14y + -20y = -6y -71 + -6y = -23 + 20y + -20y Combine like terms: 20y + -20y = 0 -71 + -6y = -23 + 0 -71 + -6y = -23 Add '71' to each side of the equation. -71 + 71 + -6y = -23 + 71 Combine like terms: -71 + 71 = 0 0 + -6y = -23 + 71 -6y = -23 + 71 Combine like terms: -23 + 71 = 48 -6y = 48 Divide each side by '-6'. y = -8 Simplifying y = -8
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