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Simplifying -4y + -9 = 6y + 61 Reorder the terms: -9 + -4y = 6y + 61 Reorder the terms: -9 + -4y = 61 + 6y Solving -9 + -4y = 61 + 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. -9 + -4y + -6y = 61 + 6y + -6y Combine like terms: -4y + -6y = -10y -9 + -10y = 61 + 6y + -6y Combine like terms: 6y + -6y = 0 -9 + -10y = 61 + 0 -9 + -10y = 61 Add '9' to each side of the equation. -9 + 9 + -10y = 61 + 9 Combine like terms: -9 + 9 = 0 0 + -10y = 61 + 9 -10y = 61 + 9 Combine like terms: 61 + 9 = 70 -10y = 70 Divide each side by '-10'. y = -7 Simplifying y = -7
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