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Simplifying 3y + -3(5y + -1) = -5 + -4(4 + -1y) Reorder the terms: 3y + -3(-1 + 5y) = -5 + -4(4 + -1y) 3y + (-1 * -3 + 5y * -3) = -5 + -4(4 + -1y) 3y + (3 + -15y) = -5 + -4(4 + -1y) Reorder the terms: 3 + 3y + -15y = -5 + -4(4 + -1y) Combine like terms: 3y + -15y = -12y 3 + -12y = -5 + -4(4 + -1y) 3 + -12y = -5 + (4 * -4 + -1y * -4) 3 + -12y = -5 + (-16 + 4y) Combine like terms: -5 + -16 = -21 3 + -12y = -21 + 4y Solving 3 + -12y = -21 + 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. 3 + -12y + -4y = -21 + 4y + -4y Combine like terms: -12y + -4y = -16y 3 + -16y = -21 + 4y + -4y Combine like terms: 4y + -4y = 0 3 + -16y = -21 + 0 3 + -16y = -21 Add '-3' to each side of the equation. 3 + -3 + -16y = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -16y = -21 + -3 -16y = -21 + -3 Combine like terms: -21 + -3 = -24 -16y = -24 Divide each side by '-16'. y = 1.5 Simplifying y = 1.5
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