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Simplifying -4(2 + 3y) + 11 = -15y + 17 (2 * -4 + 3y * -4) + 11 = -15y + 17 (-8 + -12y) + 11 = -15y + 17 Reorder the terms: -8 + 11 + -12y = -15y + 17 Combine like terms: -8 + 11 = 3 3 + -12y = -15y + 17 Reorder the terms: 3 + -12y = 17 + -15y Solving 3 + -12y = 17 + -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. 3 + -12y + 15y = 17 + -15y + 15y Combine like terms: -12y + 15y = 3y 3 + 3y = 17 + -15y + 15y Combine like terms: -15y + 15y = 0 3 + 3y = 17 + 0 3 + 3y = 17 Add '-3' to each side of the equation. 3 + -3 + 3y = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 3y = 17 + -3 3y = 17 + -3 Combine like terms: 17 + -3 = 14 3y = 14 Divide each side by '3'. y = 4.666666667 Simplifying y = 4.666666667
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