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Simplifying 1 + -3(y + -5) = 4(2 + -3y) Reorder the terms: 1 + -3(-5 + y) = 4(2 + -3y) 1 + (-5 * -3 + y * -3) = 4(2 + -3y) 1 + (15 + -3y) = 4(2 + -3y) Combine like terms: 1 + 15 = 16 16 + -3y = 4(2 + -3y) 16 + -3y = (2 * 4 + -3y * 4) 16 + -3y = (8 + -12y) Solving 16 + -3y = 8 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 16 + -3y + 12y = 8 + -12y + 12y Combine like terms: -3y + 12y = 9y 16 + 9y = 8 + -12y + 12y Combine like terms: -12y + 12y = 0 16 + 9y = 8 + 0 16 + 9y = 8 Add '-16' to each side of the equation. 16 + -16 + 9y = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 9y = 8 + -16 9y = 8 + -16 Combine like terms: 8 + -16 = -8 9y = -8 Divide each side by '9'. y = -0.8888888889 Simplifying y = -0.8888888889
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