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Simplifying -6(9y + 7) = 21 + -2y Reorder the terms: -6(7 + 9y) = 21 + -2y (7 * -6 + 9y * -6) = 21 + -2y (-42 + -54y) = 21 + -2y Solving -42 + -54y = 21 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -42 + -54y + 2y = 21 + -2y + 2y Combine like terms: -54y + 2y = -52y -42 + -52y = 21 + -2y + 2y Combine like terms: -2y + 2y = 0 -42 + -52y = 21 + 0 -42 + -52y = 21 Add '42' to each side of the equation. -42 + 42 + -52y = 21 + 42 Combine like terms: -42 + 42 = 0 0 + -52y = 21 + 42 -52y = 21 + 42 Combine like terms: 21 + 42 = 63 -52y = 63 Divide each side by '-52'. y = -1.211538462 Simplifying y = -1.211538462
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