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Simplifying -38 = -5 + 6(y + -3) Reorder the terms: -38 = -5 + 6(-3 + y) -38 = -5 + (-3 * 6 + y * 6) -38 = -5 + (-18 + 6y) Combine like terms: -5 + -18 = -23 -38 = -23 + 6y Solving -38 = -23 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -38 + -6y = -23 + 6y + -6y Combine like terms: 6y + -6y = 0 -38 + -6y = -23 + 0 -38 + -6y = -23 Add '38' to each side of the equation. -38 + 38 + -6y = -23 + 38 Combine like terms: -38 + 38 = 0 0 + -6y = -23 + 38 -6y = -23 + 38 Combine like terms: -23 + 38 = 15 -6y = 15 Divide each side by '-6'. y = -2.5 Simplifying y = -2.5
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