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Simplifying 6(2y + -1) + 10 = 8(y + -3) + 5 Reorder the terms: 6(-1 + 2y) + 10 = 8(y + -3) + 5 (-1 * 6 + 2y * 6) + 10 = 8(y + -3) + 5 (-6 + 12y) + 10 = 8(y + -3) + 5 Reorder the terms: -6 + 10 + 12y = 8(y + -3) + 5 Combine like terms: -6 + 10 = 4 4 + 12y = 8(y + -3) + 5 Reorder the terms: 4 + 12y = 8(-3 + y) + 5 4 + 12y = (-3 * 8 + y * 8) + 5 4 + 12y = (-24 + 8y) + 5 Reorder the terms: 4 + 12y = -24 + 5 + 8y Combine like terms: -24 + 5 = -19 4 + 12y = -19 + 8y Solving 4 + 12y = -19 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 4 + 12y + -8y = -19 + 8y + -8y Combine like terms: 12y + -8y = 4y 4 + 4y = -19 + 8y + -8y Combine like terms: 8y + -8y = 0 4 + 4y = -19 + 0 4 + 4y = -19 Add '-4' to each side of the equation. 4 + -4 + 4y = -19 + -4 Combine like terms: 4 + -4 = 0 0 + 4y = -19 + -4 4y = -19 + -4 Combine like terms: -19 + -4 = -23 4y = -23 Divide each side by '4'. y = -5.75 Simplifying y = -5.75
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