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Simplifying 3(7y + -7) = -6 + 6y Reorder the terms: 3(-7 + 7y) = -6 + 6y (-7 * 3 + 7y * 3) = -6 + 6y (-21 + 21y) = -6 + 6y Solving -21 + 21y = -6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -21 + 21y + -6y = -6 + 6y + -6y Combine like terms: 21y + -6y = 15y -21 + 15y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 -21 + 15y = -6 + 0 -21 + 15y = -6 Add '21' to each side of the equation. -21 + 21 + 15y = -6 + 21 Combine like terms: -21 + 21 = 0 0 + 15y = -6 + 21 15y = -6 + 21 Combine like terms: -6 + 21 = 15 15y = 15 Divide each side by '15'. y = 1 Simplifying y = 1
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