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Simplifying 3(y + -2) + -1(4y + 2) = 5(4y + -5) + -4 Reorder the terms: 3(-2 + y) + -1(4y + 2) = 5(4y + -5) + -4 (-2 * 3 + y * 3) + -1(4y + 2) = 5(4y + -5) + -4 (-6 + 3y) + -1(4y + 2) = 5(4y + -5) + -4 Reorder the terms: -6 + 3y + -1(2 + 4y) = 5(4y + -5) + -4 -6 + 3y + (2 * -1 + 4y * -1) = 5(4y + -5) + -4 -6 + 3y + (-2 + -4y) = 5(4y + -5) + -4 Reorder the terms: -6 + -2 + 3y + -4y = 5(4y + -5) + -4 Combine like terms: -6 + -2 = -8 -8 + 3y + -4y = 5(4y + -5) + -4 Combine like terms: 3y + -4y = -1y -8 + -1y = 5(4y + -5) + -4 Reorder the terms: -8 + -1y = 5(-5 + 4y) + -4 -8 + -1y = (-5 * 5 + 4y * 5) + -4 -8 + -1y = (-25 + 20y) + -4 Reorder the terms: -8 + -1y = -25 + -4 + 20y Combine like terms: -25 + -4 = -29 -8 + -1y = -29 + 20y Solving -8 + -1y = -29 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -8 + -1y + -20y = -29 + 20y + -20y Combine like terms: -1y + -20y = -21y -8 + -21y = -29 + 20y + -20y Combine like terms: 20y + -20y = 0 -8 + -21y = -29 + 0 -8 + -21y = -29 Add '8' to each side of the equation. -8 + 8 + -21y = -29 + 8 Combine like terms: -8 + 8 = 0 0 + -21y = -29 + 8 -21y = -29 + 8 Combine like terms: -29 + 8 = -21 -21y = -21 Divide each side by '-21'. y = 1 Simplifying y = 1
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