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Simplifying -4y + -38 = -2(4 + -1y) Reorder the terms: -38 + -4y = -2(4 + -1y) -38 + -4y = (4 * -2 + -1y * -2) -38 + -4y = (-8 + 2y) Solving -38 + -4y = -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. -38 + -4y + -2y = -8 + 2y + -2y Combine like terms: -4y + -2y = -6y -38 + -6y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 -38 + -6y = -8 + 0 -38 + -6y = -8 Add '38' to each side of the equation. -38 + 38 + -6y = -8 + 38 Combine like terms: -38 + 38 = 0 0 + -6y = -8 + 38 -6y = -8 + 38 Combine like terms: -8 + 38 = 30 -6y = 30 Divide each side by '-6'. y = -5 Simplifying y = -5
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