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Simplifying 4y + -3(20 + -1y) = 6y + -7(11 + -1y) + -1 4y + (20 * -3 + -1y * -3) = 6y + -7(11 + -1y) + -1 4y + (-60 + 3y) = 6y + -7(11 + -1y) + -1 Reorder the terms: -60 + 4y + 3y = 6y + -7(11 + -1y) + -1 Combine like terms: 4y + 3y = 7y -60 + 7y = 6y + -7(11 + -1y) + -1 -60 + 7y = 6y + (11 * -7 + -1y * -7) + -1 -60 + 7y = 6y + (-77 + 7y) + -1 Reorder the terms: -60 + 7y = -77 + -1 + 6y + 7y Combine like terms: -77 + -1 = -78 -60 + 7y = -78 + 6y + 7y Combine like terms: 6y + 7y = 13y -60 + 7y = -78 + 13y Solving -60 + 7y = -78 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -60 + 7y + -13y = -78 + 13y + -13y Combine like terms: 7y + -13y = -6y -60 + -6y = -78 + 13y + -13y Combine like terms: 13y + -13y = 0 -60 + -6y = -78 + 0 -60 + -6y = -78 Add '60' to each side of the equation. -60 + 60 + -6y = -78 + 60 Combine like terms: -60 + 60 = 0 0 + -6y = -78 + 60 -6y = -78 + 60 Combine like terms: -78 + 60 = -18 -6y = -18 Divide each side by '-6'. y = 3 Simplifying y = 3
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