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Simplifying 6(y + -3) = 2y + -38 Reorder the terms: 6(-3 + y) = 2y + -38 (-3 * 6 + y * 6) = 2y + -38 (-18 + 6y) = 2y + -38 Reorder the terms: -18 + 6y = -38 + 2y Solving -18 + 6y = -38 + 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 = -38 + 2y + -2y Combine like terms: 6y + -2y = 4y -18 + 4y = -38 + 2y + -2y Combine like terms: 2y + -2y = 0 -18 + 4y = -38 + 0 -18 + 4y = -38 Add '18' to each side of the equation. -18 + 18 + 4y = -38 + 18 Combine like terms: -18 + 18 = 0 0 + 4y = -38 + 18 4y = -38 + 18 Combine like terms: -38 + 18 = -20 4y = -20 Divide each side by '4'. y = -5 Simplifying y = -5
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