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Simplifying (3y + -4) = (3y + -5 + -4y) + -1(2 + -5y + 10) Reorder the terms: (-4 + 3y) = (3y + -5 + -4y) + -1(2 + -5y + 10) Remove parenthesis around (-4 + 3y) -4 + 3y = (3y + -5 + -4y) + -1(2 + -5y + 10) Reorder the terms: -4 + 3y = (-5 + 3y + -4y) + -1(2 + -5y + 10) Combine like terms: 3y + -4y = -1y -4 + 3y = (-5 + -1y) + -1(2 + -5y + 10) Remove parenthesis around (-5 + -1y) -4 + 3y = -5 + -1y + -1(2 + -5y + 10) Reorder the terms: -4 + 3y = -5 + -1y + -1(2 + 10 + -5y) Combine like terms: 2 + 10 = 12 -4 + 3y = -5 + -1y + -1(12 + -5y) -4 + 3y = -5 + -1y + (12 * -1 + -5y * -1) -4 + 3y = -5 + -1y + (-12 + 5y) Reorder the terms: -4 + 3y = -5 + -12 + -1y + 5y Combine like terms: -5 + -12 = -17 -4 + 3y = -17 + -1y + 5y Combine like terms: -1y + 5y = 4y -4 + 3y = -17 + 4y Solving -4 + 3y = -17 + 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 = -17 + 4y + -4y Combine like terms: 3y + -4y = -1y -4 + -1y = -17 + 4y + -4y Combine like terms: 4y + -4y = 0 -4 + -1y = -17 + 0 -4 + -1y = -17 Add '4' to each side of the equation. -4 + 4 + -1y = -17 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = -17 + 4 -1y = -17 + 4 Combine like terms: -17 + 4 = -13 -1y = -13 Divide each side by '-1'. y = 13 Simplifying y = 13
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