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Simplifying -4(y + 2) = 6y + -38 Reorder the terms: -4(2 + y) = 6y + -38 (2 * -4 + y * -4) = 6y + -38 (-8 + -4y) = 6y + -38 Reorder the terms: -8 + -4y = -38 + 6y Solving -8 + -4y = -38 + 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. -8 + -4y + -6y = -38 + 6y + -6y Combine like terms: -4y + -6y = -10y -8 + -10y = -38 + 6y + -6y Combine like terms: 6y + -6y = 0 -8 + -10y = -38 + 0 -8 + -10y = -38 Add '8' to each side of the equation. -8 + 8 + -10y = -38 + 8 Combine like terms: -8 + 8 = 0 0 + -10y = -38 + 8 -10y = -38 + 8 Combine like terms: -38 + 8 = -30 -10y = -30 Divide each side by '-10'. y = 3 Simplifying y = 3
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