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Simplifying 2y + (y + -4) = 8y + -4(y + -10) Reorder the terms: 2y + (-4 + y) = 8y + -4(y + -10) Remove parenthesis around (-4 + y) 2y + -4 + y = 8y + -4(y + -10) Reorder the terms: -4 + 2y + y = 8y + -4(y + -10) Combine like terms: 2y + y = 3y -4 + 3y = 8y + -4(y + -10) Reorder the terms: -4 + 3y = 8y + -4(-10 + y) -4 + 3y = 8y + (-10 * -4 + y * -4) -4 + 3y = 8y + (40 + -4y) Reorder the terms: -4 + 3y = 40 + 8y + -4y Combine like terms: 8y + -4y = 4y -4 + 3y = 40 + 4y Solving -4 + 3y = 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. -4 + 3y + -4y = 40 + 4y + -4y Combine like terms: 3y + -4y = -1y -4 + -1y = 40 + 4y + -4y Combine like terms: 4y + -4y = 0 -4 + -1y = 40 + 0 -4 + -1y = 40 Add '4' to each side of the equation. -4 + 4 + -1y = 40 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 40 + 4 -1y = 40 + 4 Combine like terms: 40 + 4 = 44 -1y = 44 Divide each side by '-1'. y = -44 Simplifying y = -44
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