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Simplifying 3(y + 4) = -3(2y + -7) + 3y Reorder the terms: 3(4 + y) = -3(2y + -7) + 3y (4 * 3 + y * 3) = -3(2y + -7) + 3y (12 + 3y) = -3(2y + -7) + 3y Reorder the terms: 12 + 3y = -3(-7 + 2y) + 3y 12 + 3y = (-7 * -3 + 2y * -3) + 3y 12 + 3y = (21 + -6y) + 3y Combine like terms: -6y + 3y = -3y 12 + 3y = 21 + -3y Solving 12 + 3y = 21 + -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. 12 + 3y + 3y = 21 + -3y + 3y Combine like terms: 3y + 3y = 6y 12 + 6y = 21 + -3y + 3y Combine like terms: -3y + 3y = 0 12 + 6y = 21 + 0 12 + 6y = 21 Add '-12' to each side of the equation. 12 + -12 + 6y = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 6y = 21 + -12 6y = 21 + -12 Combine like terms: 21 + -12 = 9 6y = 9 Divide each side by '6'. y = 1.5 Simplifying y = 1.5
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