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Simplifying 3 + 3(4y + -1) = -4(2y + -3) + 5y Reorder the terms: 3 + 3(-1 + 4y) = -4(2y + -3) + 5y 3 + (-1 * 3 + 4y * 3) = -4(2y + -3) + 5y 3 + (-3 + 12y) = -4(2y + -3) + 5y Combine like terms: 3 + -3 = 0 0 + 12y = -4(2y + -3) + 5y 12y = -4(2y + -3) + 5y Reorder the terms: 12y = -4(-3 + 2y) + 5y 12y = (-3 * -4 + 2y * -4) + 5y 12y = (12 + -8y) + 5y Combine like terms: -8y + 5y = -3y 12y = 12 + -3y Solving 12y = 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. 12y + 3y = 12 + -3y + 3y Combine like terms: 12y + 3y = 15y 15y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 15y = 12 + 0 15y = 12 Divide each side by '15'. y = 0.8 Simplifying y = 0.8
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