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Simplifying 3(y + -6) = -7(3 + y) Reorder the terms: 3(-6 + y) = -7(3 + y) (-6 * 3 + y * 3) = -7(3 + y) (-18 + 3y) = -7(3 + y) -18 + 3y = (3 * -7 + y * -7) -18 + 3y = (-21 + -7y) Solving -18 + 3y = -21 + -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. -18 + 3y + 7y = -21 + -7y + 7y Combine like terms: 3y + 7y = 10y -18 + 10y = -21 + -7y + 7y Combine like terms: -7y + 7y = 0 -18 + 10y = -21 + 0 -18 + 10y = -21 Add '18' to each side of the equation. -18 + 18 + 10y = -21 + 18 Combine like terms: -18 + 18 = 0 0 + 10y = -21 + 18 10y = -21 + 18 Combine like terms: -21 + 18 = -3 10y = -3 Divide each side by '10'. y = -0.3 Simplifying y = -0.3
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