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Simplifying 3y + 2(y + -4) = 7y + -4(y + -10) Reorder the terms: 3y + 2(-4 + y) = 7y + -4(y + -10) 3y + (-4 * 2 + y * 2) = 7y + -4(y + -10) 3y + (-8 + 2y) = 7y + -4(y + -10) Reorder the terms: -8 + 3y + 2y = 7y + -4(y + -10) Combine like terms: 3y + 2y = 5y -8 + 5y = 7y + -4(y + -10) Reorder the terms: -8 + 5y = 7y + -4(-10 + y) -8 + 5y = 7y + (-10 * -4 + y * -4) -8 + 5y = 7y + (40 + -4y) Reorder the terms: -8 + 5y = 40 + 7y + -4y Combine like terms: 7y + -4y = 3y -8 + 5y = 40 + 3y Solving -8 + 5y = 40 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -8 + 5y + -3y = 40 + 3y + -3y Combine like terms: 5y + -3y = 2y -8 + 2y = 40 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 2y = 40 + 0 -8 + 2y = 40 Add '8' to each side of the equation. -8 + 8 + 2y = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 2y = 40 + 8 2y = 40 + 8 Combine like terms: 40 + 8 = 48 2y = 48 Divide each side by '2'. y = 24 Simplifying y = 24
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