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Simplifying 3y + 4(y + -6) = 7y + -2(y + -10) Reorder the terms: 3y + 4(-6 + y) = 7y + -2(y + -10) 3y + (-6 * 4 + y * 4) = 7y + -2(y + -10) 3y + (-24 + 4y) = 7y + -2(y + -10) Reorder the terms: -24 + 3y + 4y = 7y + -2(y + -10) Combine like terms: 3y + 4y = 7y -24 + 7y = 7y + -2(y + -10) Reorder the terms: -24 + 7y = 7y + -2(-10 + y) -24 + 7y = 7y + (-10 * -2 + y * -2) -24 + 7y = 7y + (20 + -2y) Reorder the terms: -24 + 7y = 20 + 7y + -2y Combine like terms: 7y + -2y = 5y -24 + 7y = 20 + 5y Solving -24 + 7y = 20 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -24 + 7y + -5y = 20 + 5y + -5y Combine like terms: 7y + -5y = 2y -24 + 2y = 20 + 5y + -5y Combine like terms: 5y + -5y = 0 -24 + 2y = 20 + 0 -24 + 2y = 20 Add '24' to each side of the equation. -24 + 24 + 2y = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 2y = 20 + 24 2y = 20 + 24 Combine like terms: 20 + 24 = 44 2y = 44 Divide each side by '2'. y = 22 Simplifying y = 22
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