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Simplifying 4(y + -7) + -1(y + 5) = 2(1 + -1y) Reorder the terms: 4(-7 + y) + -1(y + 5) = 2(1 + -1y) (-7 * 4 + y * 4) + -1(y + 5) = 2(1 + -1y) (-28 + 4y) + -1(y + 5) = 2(1 + -1y) Reorder the terms: -28 + 4y + -1(5 + y) = 2(1 + -1y) -28 + 4y + (5 * -1 + y * -1) = 2(1 + -1y) -28 + 4y + (-5 + -1y) = 2(1 + -1y) Reorder the terms: -28 + -5 + 4y + -1y = 2(1 + -1y) Combine like terms: -28 + -5 = -33 -33 + 4y + -1y = 2(1 + -1y) Combine like terms: 4y + -1y = 3y -33 + 3y = 2(1 + -1y) -33 + 3y = (1 * 2 + -1y * 2) -33 + 3y = (2 + -2y) Solving -33 + 3y = 2 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -33 + 3y + 2y = 2 + -2y + 2y Combine like terms: 3y + 2y = 5y -33 + 5y = 2 + -2y + 2y Combine like terms: -2y + 2y = 0 -33 + 5y = 2 + 0 -33 + 5y = 2 Add '33' to each side of the equation. -33 + 33 + 5y = 2 + 33 Combine like terms: -33 + 33 = 0 0 + 5y = 2 + 33 5y = 2 + 33 Combine like terms: 2 + 33 = 35 5y = 35 Divide each side by '5'. y = 7 Simplifying y = 7
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