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Simplifying 3(y + -7) = -7(6 + y) Reorder the terms: 3(-7 + y) = -7(6 + y) (-7 * 3 + y * 3) = -7(6 + y) (-21 + 3y) = -7(6 + y) -21 + 3y = (6 * -7 + y * -7) -21 + 3y = (-42 + -7y) Solving -21 + 3y = -42 + -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. -21 + 3y + 7y = -42 + -7y + 7y Combine like terms: 3y + 7y = 10y -21 + 10y = -42 + -7y + 7y Combine like terms: -7y + 7y = 0 -21 + 10y = -42 + 0 -21 + 10y = -42 Add '21' to each side of the equation. -21 + 21 + 10y = -42 + 21 Combine like terms: -21 + 21 = 0 0 + 10y = -42 + 21 10y = -42 + 21 Combine like terms: -42 + 21 = -21 10y = -21 Divide each side by '10'. y = -2.1 Simplifying y = -2.1
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