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Simplifying 7y + -4(y + -6) = 3 + -2(y + -6) Reorder the terms: 7y + -4(-6 + y) = 3 + -2(y + -6) 7y + (-6 * -4 + y * -4) = 3 + -2(y + -6) 7y + (24 + -4y) = 3 + -2(y + -6) Reorder the terms: 24 + 7y + -4y = 3 + -2(y + -6) Combine like terms: 7y + -4y = 3y 24 + 3y = 3 + -2(y + -6) Reorder the terms: 24 + 3y = 3 + -2(-6 + y) 24 + 3y = 3 + (-6 * -2 + y * -2) 24 + 3y = 3 + (12 + -2y) Combine like terms: 3 + 12 = 15 24 + 3y = 15 + -2y Solving 24 + 3y = 15 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 24 + 3y + 2y = 15 + -2y + 2y Combine like terms: 3y + 2y = 5y 24 + 5y = 15 + -2y + 2y Combine like terms: -2y + 2y = 0 24 + 5y = 15 + 0 24 + 5y = 15 Add '-24' to each side of the equation. 24 + -24 + 5y = 15 + -24 Combine like terms: 24 + -24 = 0 0 + 5y = 15 + -24 5y = 15 + -24 Combine like terms: 15 + -24 = -9 5y = -9 Divide each side by '5'. y = -1.8 Simplifying y = -1.8
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