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Simplifying 2y + (y + -4) = 8y + -1(4y + -10) Reorder the terms: 2y + (-4 + y) = 8y + -1(4y + -10) Remove parenthesis around (-4 + y) 2y + -4 + y = 8y + -1(4y + -10) Reorder the terms: -4 + 2y + y = 8y + -1(4y + -10) Combine like terms: 2y + y = 3y -4 + 3y = 8y + -1(4y + -10) Reorder the terms: -4 + 3y = 8y + -1(-10 + 4y) -4 + 3y = 8y + (-10 * -1 + 4y * -1) -4 + 3y = 8y + (10 + -4y) Reorder the terms: -4 + 3y = 10 + 8y + -4y Combine like terms: 8y + -4y = 4y -4 + 3y = 10 + 4y Solving -4 + 3y = 10 + 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 + 3y + -4y = 10 + 4y + -4y Combine like terms: 3y + -4y = -1y -4 + -1y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 -4 + -1y = 10 + 0 -4 + -1y = 10 Add '4' to each side of the equation. -4 + 4 + -1y = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 10 + 4 -1y = 10 + 4 Combine like terms: 10 + 4 = 14 -1y = 14 Divide each side by '-1'. y = -14 Simplifying y = -14
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