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Simplifying -7y + 6(-3y + -7) = -64 + -3y Reorder the terms: -7y + 6(-7 + -3y) = -64 + -3y -7y + (-7 * 6 + -3y * 6) = -64 + -3y -7y + (-42 + -18y) = -64 + -3y Reorder the terms: -42 + -7y + -18y = -64 + -3y Combine like terms: -7y + -18y = -25y -42 + -25y = -64 + -3y Solving -42 + -25y = -64 + -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. -42 + -25y + 3y = -64 + -3y + 3y Combine like terms: -25y + 3y = -22y -42 + -22y = -64 + -3y + 3y Combine like terms: -3y + 3y = 0 -42 + -22y = -64 + 0 -42 + -22y = -64 Add '42' to each side of the equation. -42 + 42 + -22y = -64 + 42 Combine like terms: -42 + 42 = 0 0 + -22y = -64 + 42 -22y = -64 + 42 Combine like terms: -64 + 42 = -22 -22y = -22 Divide each side by '-22'. y = 1 Simplifying y = 1
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