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Simplifying 6(-1y + 4) + -3(2y + -3) = -1y + 5 + 5y Reorder the terms: 6(4 + -1y) + -3(2y + -3) = -1y + 5 + 5y (4 * 6 + -1y * 6) + -3(2y + -3) = -1y + 5 + 5y (24 + -6y) + -3(2y + -3) = -1y + 5 + 5y Reorder the terms: 24 + -6y + -3(-3 + 2y) = -1y + 5 + 5y 24 + -6y + (-3 * -3 + 2y * -3) = -1y + 5 + 5y 24 + -6y + (9 + -6y) = -1y + 5 + 5y Reorder the terms: 24 + 9 + -6y + -6y = -1y + 5 + 5y Combine like terms: 24 + 9 = 33 33 + -6y + -6y = -1y + 5 + 5y Combine like terms: -6y + -6y = -12y 33 + -12y = -1y + 5 + 5y Reorder the terms: 33 + -12y = 5 + -1y + 5y Combine like terms: -1y + 5y = 4y 33 + -12y = 5 + 4y Solving 33 + -12y = 5 + 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. 33 + -12y + -4y = 5 + 4y + -4y Combine like terms: -12y + -4y = -16y 33 + -16y = 5 + 4y + -4y Combine like terms: 4y + -4y = 0 33 + -16y = 5 + 0 33 + -16y = 5 Add '-33' to each side of the equation. 33 + -33 + -16y = 5 + -33 Combine like terms: 33 + -33 = 0 0 + -16y = 5 + -33 -16y = 5 + -33 Combine like terms: 5 + -33 = -28 -16y = -28 Divide each side by '-16'. y = 1.75 Simplifying y = 1.75
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