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Simplifying 6(2y + -3) = 4y + -8 + -2y Reorder the terms: 6(-3 + 2y) = 4y + -8 + -2y (-3 * 6 + 2y * 6) = 4y + -8 + -2y (-18 + 12y) = 4y + -8 + -2y Reorder the terms: -18 + 12y = -8 + 4y + -2y Combine like terms: 4y + -2y = 2y -18 + 12y = -8 + 2y Solving -18 + 12y = -8 + 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 + 12y + -2y = -8 + 2y + -2y Combine like terms: 12y + -2y = 10y -18 + 10y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 -18 + 10y = -8 + 0 -18 + 10y = -8 Add '18' to each side of the equation. -18 + 18 + 10y = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 10y = -8 + 18 10y = -8 + 18 Combine like terms: -8 + 18 = 10 10y = 10 Divide each side by '10'. y = 1 Simplifying y = 1
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