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Simplifying 2y + 4(y + -4) = 7y + -3(y + -10) Reorder the terms: 2y + 4(-4 + y) = 7y + -3(y + -10) 2y + (-4 * 4 + y * 4) = 7y + -3(y + -10) 2y + (-16 + 4y) = 7y + -3(y + -10) Reorder the terms: -16 + 2y + 4y = 7y + -3(y + -10) Combine like terms: 2y + 4y = 6y -16 + 6y = 7y + -3(y + -10) Reorder the terms: -16 + 6y = 7y + -3(-10 + y) -16 + 6y = 7y + (-10 * -3 + y * -3) -16 + 6y = 7y + (30 + -3y) Reorder the terms: -16 + 6y = 30 + 7y + -3y Combine like terms: 7y + -3y = 4y -16 + 6y = 30 + 4y Solving -16 + 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. -16 + 6y + -4y = 30 + 4y + -4y Combine like terms: 6y + -4y = 2y -16 + 2y = 30 + 4y + -4y Combine like terms: 4y + -4y = 0 -16 + 2y = 30 + 0 -16 + 2y = 30 Add '16' to each side of the equation. -16 + 16 + 2y = 30 + 16 Combine like terms: -16 + 16 = 0 0 + 2y = 30 + 16 2y = 30 + 16 Combine like terms: 30 + 16 = 46 2y = 46 Divide each side by '2'. y = 23 Simplifying y = 23
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