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Simplifying 3y + 4(y + -2) = 8y + -3(y + -10) Reorder the terms: 3y + 4(-2 + y) = 8y + -3(y + -10) 3y + (-2 * 4 + y * 4) = 8y + -3(y + -10) 3y + (-8 + 4y) = 8y + -3(y + -10) Reorder the terms: -8 + 3y + 4y = 8y + -3(y + -10) Combine like terms: 3y + 4y = 7y -8 + 7y = 8y + -3(y + -10) Reorder the terms: -8 + 7y = 8y + -3(-10 + y) -8 + 7y = 8y + (-10 * -3 + y * -3) -8 + 7y = 8y + (30 + -3y) Reorder the terms: -8 + 7y = 30 + 8y + -3y Combine like terms: 8y + -3y = 5y -8 + 7y = 30 + 5y Solving -8 + 7y = 30 + 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. -8 + 7y + -5y = 30 + 5y + -5y Combine like terms: 7y + -5y = 2y -8 + 2y = 30 + 5y + -5y Combine like terms: 5y + -5y = 0 -8 + 2y = 30 + 0 -8 + 2y = 30 Add '8' to each side of the equation. -8 + 8 + 2y = 30 + 8 Combine like terms: -8 + 8 = 0 0 + 2y = 30 + 8 2y = 30 + 8 Combine like terms: 30 + 8 = 38 2y = 38 Divide each side by '2'. y = 19 Simplifying y = 19
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