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Simplifying 6(5y + -4) + -12 = 2(4y + 2) + -14 Reorder the terms: 6(-4 + 5y) + -12 = 2(4y + 2) + -14 (-4 * 6 + 5y * 6) + -12 = 2(4y + 2) + -14 (-24 + 30y) + -12 = 2(4y + 2) + -14 Reorder the terms: -24 + -12 + 30y = 2(4y + 2) + -14 Combine like terms: -24 + -12 = -36 -36 + 30y = 2(4y + 2) + -14 Reorder the terms: -36 + 30y = 2(2 + 4y) + -14 -36 + 30y = (2 * 2 + 4y * 2) + -14 -36 + 30y = (4 + 8y) + -14 Reorder the terms: -36 + 30y = 4 + -14 + 8y Combine like terms: 4 + -14 = -10 -36 + 30y = -10 + 8y Solving -36 + 30y = -10 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -36 + 30y + -8y = -10 + 8y + -8y Combine like terms: 30y + -8y = 22y -36 + 22y = -10 + 8y + -8y Combine like terms: 8y + -8y = 0 -36 + 22y = -10 + 0 -36 + 22y = -10 Add '36' to each side of the equation. -36 + 36 + 22y = -10 + 36 Combine like terms: -36 + 36 = 0 0 + 22y = -10 + 36 22y = -10 + 36 Combine like terms: -10 + 36 = 26 22y = 26 Divide each side by '22'. y = 1.181818182 Simplifying y = 1.181818182
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