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Simplifying 3(-6 + -2y) = (2y + -3) + -1 (-6 * 3 + -2y * 3) = (2y + -3) + -1 (-18 + -6y) = (2y + -3) + -1 Reorder the terms: -18 + -6y = (-3 + 2y) + -1 Remove parenthesis around (-3 + 2y) -18 + -6y = -3 + 2y + -1 Reorder the terms: -18 + -6y = -3 + -1 + 2y Combine like terms: -3 + -1 = -4 -18 + -6y = -4 + 2y Solving -18 + -6y = -4 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -18 + -6y + -2y = -4 + 2y + -2y Combine like terms: -6y + -2y = -8y -18 + -8y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 -18 + -8y = -4 + 0 -18 + -8y = -4 Add '18' to each side of the equation. -18 + 18 + -8y = -4 + 18 Combine like terms: -18 + 18 = 0 0 + -8y = -4 + 18 -8y = -4 + 18 Combine like terms: -4 + 18 = 14 -8y = 14 Divide each side by '-8'. y = -1.75 Simplifying y = -1.75
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