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Simplifying 8y + -9 + -1(4y + -5) = 12y + -1(4 + 5y) Reorder the terms: 8y + -9 + -1(-5 + 4y) = 12y + -1(4 + 5y) 8y + -9 + (-5 * -1 + 4y * -1) = 12y + -1(4 + 5y) 8y + -9 + (5 + -4y) = 12y + -1(4 + 5y) Reorder the terms: -9 + 5 + 8y + -4y = 12y + -1(4 + 5y) Combine like terms: -9 + 5 = -4 -4 + 8y + -4y = 12y + -1(4 + 5y) Combine like terms: 8y + -4y = 4y -4 + 4y = 12y + -1(4 + 5y) -4 + 4y = 12y + (4 * -1 + 5y * -1) -4 + 4y = 12y + (-4 + -5y) Reorder the terms: -4 + 4y = -4 + 12y + -5y Combine like terms: 12y + -5y = 7y -4 + 4y = -4 + 7y Add '4' to each side of the equation. -4 + 4 + 4y = -4 + 4 + 7y Combine like terms: -4 + 4 = 0 0 + 4y = -4 + 4 + 7y 4y = -4 + 4 + 7y Combine like terms: -4 + 4 = 0 4y = 0 + 7y 4y = 7y Solving 4y = 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 4y + -7y = 7y + -7y Combine like terms: 4y + -7y = -3y -3y = 7y + -7y Combine like terms: 7y + -7y = 0 -3y = 0 Divide each side by '-3'. y = 0 Simplifying y = 0
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