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Simplifying 5 + -3(2y + 4) + -6 = 12 + 3y Reorder the terms: 5 + -3(4 + 2y) + -6 = 12 + 3y 5 + (4 * -3 + 2y * -3) + -6 = 12 + 3y 5 + (-12 + -6y) + -6 = 12 + 3y Reorder the terms: 5 + -12 + -6 + -6y = 12 + 3y Combine like terms: 5 + -12 = -7 -7 + -6 + -6y = 12 + 3y Combine like terms: -7 + -6 = -13 -13 + -6y = 12 + 3y Solving -13 + -6y = 12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -13 + -6y + -3y = 12 + 3y + -3y Combine like terms: -6y + -3y = -9y -13 + -9y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 -13 + -9y = 12 + 0 -13 + -9y = 12 Add '13' to each side of the equation. -13 + 13 + -9y = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -9y = 12 + 13 -9y = 12 + 13 Combine like terms: 12 + 13 = 25 -9y = 25 Divide each side by '-9'. y = -2.777777778 Simplifying y = -2.777777778
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