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Simplifying 2y + 4(y + -4) = 8y + -4(y + -10) Reorder the terms: 2y + 4(-4 + y) = 8y + -4(y + -10) 2y + (-4 * 4 + y * 4) = 8y + -4(y + -10) 2y + (-16 + 4y) = 8y + -4(y + -10) Reorder the terms: -16 + 2y + 4y = 8y + -4(y + -10) Combine like terms: 2y + 4y = 6y -16 + 6y = 8y + -4(y + -10) Reorder the terms: -16 + 6y = 8y + -4(-10 + y) -16 + 6y = 8y + (-10 * -4 + y * -4) -16 + 6y = 8y + (40 + -4y) Reorder the terms: -16 + 6y = 40 + 8y + -4y Combine like terms: 8y + -4y = 4y -16 + 6y = 40 + 4y Solving -16 + 6y = 40 + 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 = 40 + 4y + -4y Combine like terms: 6y + -4y = 2y -16 + 2y = 40 + 4y + -4y Combine like terms: 4y + -4y = 0 -16 + 2y = 40 + 0 -16 + 2y = 40 Add '16' to each side of the equation. -16 + 16 + 2y = 40 + 16 Combine like terms: -16 + 16 = 0 0 + 2y = 40 + 16 2y = 40 + 16 Combine like terms: 40 + 16 = 56 2y = 56 Divide each side by '2'. y = 28 Simplifying y = 28
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