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Simplifying 4(3y + -7) + -5 = 3(4 + -1y) Reorder the terms: 4(-7 + 3y) + -5 = 3(4 + -1y) (-7 * 4 + 3y * 4) + -5 = 3(4 + -1y) (-28 + 12y) + -5 = 3(4 + -1y) Reorder the terms: -28 + -5 + 12y = 3(4 + -1y) Combine like terms: -28 + -5 = -33 -33 + 12y = 3(4 + -1y) -33 + 12y = (4 * 3 + -1y * 3) -33 + 12y = (12 + -3y) Solving -33 + 12y = 12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -33 + 12y + 3y = 12 + -3y + 3y Combine like terms: 12y + 3y = 15y -33 + 15y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 -33 + 15y = 12 + 0 -33 + 15y = 12 Add '33' to each side of the equation. -33 + 33 + 15y = 12 + 33 Combine like terms: -33 + 33 = 0 0 + 15y = 12 + 33 15y = 12 + 33 Combine like terms: 12 + 33 = 45 15y = 45 Divide each side by '15'. y = 3 Simplifying y = 3
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