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Simplifying 4(3y + -5) + -2(4y + -3) = y + -5 Reorder the terms: 4(-5 + 3y) + -2(4y + -3) = y + -5 (-5 * 4 + 3y * 4) + -2(4y + -3) = y + -5 (-20 + 12y) + -2(4y + -3) = y + -5 Reorder the terms: -20 + 12y + -2(-3 + 4y) = y + -5 -20 + 12y + (-3 * -2 + 4y * -2) = y + -5 -20 + 12y + (6 + -8y) = y + -5 Reorder the terms: -20 + 6 + 12y + -8y = y + -5 Combine like terms: -20 + 6 = -14 -14 + 12y + -8y = y + -5 Combine like terms: 12y + -8y = 4y -14 + 4y = y + -5 Reorder the terms: -14 + 4y = -5 + y Solving -14 + 4y = -5 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -14 + 4y + -1y = -5 + y + -1y Combine like terms: 4y + -1y = 3y -14 + 3y = -5 + y + -1y Combine like terms: y + -1y = 0 -14 + 3y = -5 + 0 -14 + 3y = -5 Add '14' to each side of the equation. -14 + 14 + 3y = -5 + 14 Combine like terms: -14 + 14 = 0 0 + 3y = -5 + 14 3y = -5 + 14 Combine like terms: -5 + 14 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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