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Simplifying -4(y + -3) = 6y + -38 Reorder the terms: -4(-3 + y) = 6y + -38 (-3 * -4 + y * -4) = 6y + -38 (12 + -4y) = 6y + -38 Reorder the terms: 12 + -4y = -38 + 6y Solving 12 + -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. 12 + -4y + -6y = -38 + 6y + -6y Combine like terms: -4y + -6y = -10y 12 + -10y = -38 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + -10y = -38 + 0 12 + -10y = -38 Add '-12' to each side of the equation. 12 + -12 + -10y = -38 + -12 Combine like terms: 12 + -12 = 0 0 + -10y = -38 + -12 -10y = -38 + -12 Combine like terms: -38 + -12 = -50 -10y = -50 Divide each side by '-10'. y = 5 Simplifying y = 5
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