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Simplifying 2y + 2(y + -2) = 5 + -3(y + -10) Reorder the terms: 2y + 2(-2 + y) = 5 + -3(y + -10) 2y + (-2 * 2 + y * 2) = 5 + -3(y + -10) 2y + (-4 + 2y) = 5 + -3(y + -10) Reorder the terms: -4 + 2y + 2y = 5 + -3(y + -10) Combine like terms: 2y + 2y = 4y -4 + 4y = 5 + -3(y + -10) Reorder the terms: -4 + 4y = 5 + -3(-10 + y) -4 + 4y = 5 + (-10 * -3 + y * -3) -4 + 4y = 5 + (30 + -3y) Combine like terms: 5 + 30 = 35 -4 + 4y = 35 + -3y Solving -4 + 4y = 35 + -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. -4 + 4y + 3y = 35 + -3y + 3y Combine like terms: 4y + 3y = 7y -4 + 7y = 35 + -3y + 3y Combine like terms: -3y + 3y = 0 -4 + 7y = 35 + 0 -4 + 7y = 35 Add '4' to each side of the equation. -4 + 4 + 7y = 35 + 4 Combine like terms: -4 + 4 = 0 0 + 7y = 35 + 4 7y = 35 + 4 Combine like terms: 35 + 4 = 39 7y = 39 Divide each side by '7'. y = 5.571428571 Simplifying y = 5.571428571
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