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Simplifying 12 = 6(4y + 1) + -2(7y + 7) Reorder the terms: 12 = 6(1 + 4y) + -2(7y + 7) 12 = (1 * 6 + 4y * 6) + -2(7y + 7) 12 = (6 + 24y) + -2(7y + 7) Reorder the terms: 12 = 6 + 24y + -2(7 + 7y) 12 = 6 + 24y + (7 * -2 + 7y * -2) 12 = 6 + 24y + (-14 + -14y) Reorder the terms: 12 = 6 + -14 + 24y + -14y Combine like terms: 6 + -14 = -8 12 = -8 + 24y + -14y Combine like terms: 24y + -14y = 10y 12 = -8 + 10y Solving 12 = -8 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 12 + -10y = -8 + 10y + -10y Combine like terms: 10y + -10y = 0 12 + -10y = -8 + 0 12 + -10y = -8 Add '-12' to each side of the equation. 12 + -12 + -10y = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -10y = -8 + -12 -10y = -8 + -12 Combine like terms: -8 + -12 = -20 -10y = -20 Divide each side by '-10'. y = 2 Simplifying y = 2
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