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Simplifying -4y + -12 = 6y + 38 Reorder the terms: -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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