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Simplifying -7(4y + 1) + -17 = 5y + 6(3 + -2y) Reorder the terms: -7(1 + 4y) + -17 = 5y + 6(3 + -2y) (1 * -7 + 4y * -7) + -17 = 5y + 6(3 + -2y) (-7 + -28y) + -17 = 5y + 6(3 + -2y) Reorder the terms: -7 + -17 + -28y = 5y + 6(3 + -2y) Combine like terms: -7 + -17 = -24 -24 + -28y = 5y + 6(3 + -2y) -24 + -28y = 5y + (3 * 6 + -2y * 6) -24 + -28y = 5y + (18 + -12y) Reorder the terms: -24 + -28y = 18 + 5y + -12y Combine like terms: 5y + -12y = -7y -24 + -28y = 18 + -7y Solving -24 + -28y = 18 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -24 + -28y + 7y = 18 + -7y + 7y Combine like terms: -28y + 7y = -21y -24 + -21y = 18 + -7y + 7y Combine like terms: -7y + 7y = 0 -24 + -21y = 18 + 0 -24 + -21y = 18 Add '24' to each side of the equation. -24 + 24 + -21y = 18 + 24 Combine like terms: -24 + 24 = 0 0 + -21y = 18 + 24 -21y = 18 + 24 Combine like terms: 18 + 24 = 42 -21y = 42 Divide each side by '-21'. y = -2 Simplifying y = -2
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