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Simplifying -77 + 13y + 4 = 5(4y + -3) + -2 Reorder the terms: -77 + 4 + 13y = 5(4y + -3) + -2 Combine like terms: -77 + 4 = -73 -73 + 13y = 5(4y + -3) + -2 Reorder the terms: -73 + 13y = 5(-3 + 4y) + -2 -73 + 13y = (-3 * 5 + 4y * 5) + -2 -73 + 13y = (-15 + 20y) + -2 Reorder the terms: -73 + 13y = -15 + -2 + 20y Combine like terms: -15 + -2 = -17 -73 + 13y = -17 + 20y Solving -73 + 13y = -17 + 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. -73 + 13y + -20y = -17 + 20y + -20y Combine like terms: 13y + -20y = -7y -73 + -7y = -17 + 20y + -20y Combine like terms: 20y + -20y = 0 -73 + -7y = -17 + 0 -73 + -7y = -17 Add '73' to each side of the equation. -73 + 73 + -7y = -17 + 73 Combine like terms: -73 + 73 = 0 0 + -7y = -17 + 73 -7y = -17 + 73 Combine like terms: -17 + 73 = 56 -7y = 56 Divide each side by '-7'. y = -8 Simplifying y = -8
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