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Simplifying -4y + -10 = 6y + 40 Reorder the terms: -10 + -4y = 6y + 40 Reorder the terms: -10 + -4y = 40 + 6y Solving -10 + -4y = 40 + 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. -10 + -4y + -6y = 40 + 6y + -6y Combine like terms: -4y + -6y = -10y -10 + -10y = 40 + 6y + -6y Combine like terms: 6y + -6y = 0 -10 + -10y = 40 + 0 -10 + -10y = 40 Add '10' to each side of the equation. -10 + 10 + -10y = 40 + 10 Combine like terms: -10 + 10 = 0 0 + -10y = 40 + 10 -10y = 40 + 10 Combine like terms: 40 + 10 = 50 -10y = 50 Divide each side by '-10'. y = -5 Simplifying y = -5
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