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Simplifying -34 = -7(3y + 6) Reorder the terms: -34 = -7(6 + 3y) -34 = (6 * -7 + 3y * -7) -34 = (-42 + -21y) Solving -34 = -42 + -21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21y' to each side of the equation. -34 + 21y = -42 + -21y + 21y Combine like terms: -21y + 21y = 0 -34 + 21y = -42 + 0 -34 + 21y = -42 Add '34' to each side of the equation. -34 + 34 + 21y = -42 + 34 Combine like terms: -34 + 34 = 0 0 + 21y = -42 + 34 21y = -42 + 34 Combine like terms: -42 + 34 = -8 21y = -8 Divide each side by '21'. y = -0.380952381 Simplifying y = -0.380952381
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