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Simplifying -4(3y + 1) + -17 = -6(y + 7) + 3y Reorder the terms: -4(1 + 3y) + -17 = -6(y + 7) + 3y (1 * -4 + 3y * -4) + -17 = -6(y + 7) + 3y (-4 + -12y) + -17 = -6(y + 7) + 3y Reorder the terms: -4 + -17 + -12y = -6(y + 7) + 3y Combine like terms: -4 + -17 = -21 -21 + -12y = -6(y + 7) + 3y Reorder the terms: -21 + -12y = -6(7 + y) + 3y -21 + -12y = (7 * -6 + y * -6) + 3y -21 + -12y = (-42 + -6y) + 3y Combine like terms: -6y + 3y = -3y -21 + -12y = -42 + -3y Solving -21 + -12y = -42 + -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. -21 + -12y + 3y = -42 + -3y + 3y Combine like terms: -12y + 3y = -9y -21 + -9y = -42 + -3y + 3y Combine like terms: -3y + 3y = 0 -21 + -9y = -42 + 0 -21 + -9y = -42 Add '21' to each side of the equation. -21 + 21 + -9y = -42 + 21 Combine like terms: -21 + 21 = 0 0 + -9y = -42 + 21 -9y = -42 + 21 Combine like terms: -42 + 21 = -21 -9y = -21 Divide each side by '-9'. y = 2.333333333 Simplifying y = 2.333333333
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