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Simplifying -4y + -38 = -6(y + 3) Reorder the terms: -38 + -4y = -6(y + 3) Reorder the terms: -38 + -4y = -6(3 + y) -38 + -4y = (3 * -6 + y * -6) -38 + -4y = (-18 + -6y) Solving -38 + -4y = -18 + -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 + -4y + 6y = -18 + -6y + 6y Combine like terms: -4y + 6y = 2y -38 + 2y = -18 + -6y + 6y Combine like terms: -6y + 6y = 0 -38 + 2y = -18 + 0 -38 + 2y = -18 Add '38' to each side of the equation. -38 + 38 + 2y = -18 + 38 Combine like terms: -38 + 38 = 0 0 + 2y = -18 + 38 2y = -18 + 38 Combine like terms: -18 + 38 = 20 2y = 20 Divide each side by '2'. y = 10 Simplifying y = 10
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