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Simplifying 4y + 2(y + -2) = 7y + -3(y + -10) Reorder the terms: 4y + 2(-2 + y) = 7y + -3(y + -10) 4y + (-2 * 2 + y * 2) = 7y + -3(y + -10) 4y + (-4 + 2y) = 7y + -3(y + -10) Reorder the terms: -4 + 4y + 2y = 7y + -3(y + -10) Combine like terms: 4y + 2y = 6y -4 + 6y = 7y + -3(y + -10) Reorder the terms: -4 + 6y = 7y + -3(-10 + y) -4 + 6y = 7y + (-10 * -3 + y * -3) -4 + 6y = 7y + (30 + -3y) Reorder the terms: -4 + 6y = 30 + 7y + -3y Combine like terms: 7y + -3y = 4y -4 + 6y = 30 + 4y Solving -4 + 6y = 30 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -4 + 6y + -4y = 30 + 4y + -4y Combine like terms: 6y + -4y = 2y -4 + 2y = 30 + 4y + -4y Combine like terms: 4y + -4y = 0 -4 + 2y = 30 + 0 -4 + 2y = 30 Add '4' to each side of the equation. -4 + 4 + 2y = 30 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = 30 + 4 2y = 30 + 4 Combine like terms: 30 + 4 = 34 2y = 34 Divide each side by '2'. y = 17 Simplifying y = 17
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