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Simplifying 2y + -3(4y + -8) = 2(5 + y) + -10 Reorder the terms: 2y + -3(-8 + 4y) = 2(5 + y) + -10 2y + (-8 * -3 + 4y * -3) = 2(5 + y) + -10 2y + (24 + -12y) = 2(5 + y) + -10 Reorder the terms: 24 + 2y + -12y = 2(5 + y) + -10 Combine like terms: 2y + -12y = -10y 24 + -10y = 2(5 + y) + -10 24 + -10y = (5 * 2 + y * 2) + -10 24 + -10y = (10 + 2y) + -10 Reorder the terms: 24 + -10y = 10 + -10 + 2y Combine like terms: 10 + -10 = 0 24 + -10y = 0 + 2y 24 + -10y = 2y Solving 24 + -10y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 24 + -10y + -2y = 2y + -2y Combine like terms: -10y + -2y = -12y 24 + -12y = 2y + -2y Combine like terms: 2y + -2y = 0 24 + -12y = 0 Add '-24' to each side of the equation. 24 + -24 + -12y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -12y = 0 + -24 -12y = 0 + -24 Combine like terms: 0 + -24 = -24 -12y = -24 Divide each side by '-12'. y = 2 Simplifying y = 2
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