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Simplifying 3(y + 4) = -3(6y + -7) + 3y Reorder the terms: 3(4 + y) = -3(6y + -7) + 3y (4 * 3 + y * 3) = -3(6y + -7) + 3y (12 + 3y) = -3(6y + -7) + 3y Reorder the terms: 12 + 3y = -3(-7 + 6y) + 3y 12 + 3y = (-7 * -3 + 6y * -3) + 3y 12 + 3y = (21 + -18y) + 3y Combine like terms: -18y + 3y = -15y 12 + 3y = 21 + -15y Solving 12 + 3y = 21 + -15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15y' to each side of the equation. 12 + 3y + 15y = 21 + -15y + 15y Combine like terms: 3y + 15y = 18y 12 + 18y = 21 + -15y + 15y Combine like terms: -15y + 15y = 0 12 + 18y = 21 + 0 12 + 18y = 21 Add '-12' to each side of the equation. 12 + -12 + 18y = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 18y = 21 + -12 18y = 21 + -12 Combine like terms: 21 + -12 = 9 18y = 9 Divide each side by '18'. y = 0.5 Simplifying y = 0.5
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