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Simplifying 10 + -1(-1y + -6) = 4(y + 4) + -8(y + 4) Reorder the terms: 10 + -1(-6 + -1y) = 4(y + 4) + -8(y + 4) 10 + (-6 * -1 + -1y * -1) = 4(y + 4) + -8(y + 4) 10 + (6 + 1y) = 4(y + 4) + -8(y + 4) Combine like terms: 10 + 6 = 16 16 + 1y = 4(y + 4) + -8(y + 4) Reorder the terms: 16 + 1y = 4(4 + y) + -8(y + 4) 16 + 1y = (4 * 4 + y * 4) + -8(y + 4) 16 + 1y = (16 + 4y) + -8(y + 4) Reorder the terms: 16 + 1y = 16 + 4y + -8(4 + y) 16 + 1y = 16 + 4y + (4 * -8 + y * -8) 16 + 1y = 16 + 4y + (-32 + -8y) Reorder the terms: 16 + 1y = 16 + -32 + 4y + -8y Combine like terms: 16 + -32 = -16 16 + 1y = -16 + 4y + -8y Combine like terms: 4y + -8y = -4y 16 + 1y = -16 + -4y Solving 16 + 1y = -16 + -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. 16 + 1y + 4y = -16 + -4y + 4y Combine like terms: 1y + 4y = 5y 16 + 5y = -16 + -4y + 4y Combine like terms: -4y + 4y = 0 16 + 5y = -16 + 0 16 + 5y = -16 Add '-16' to each side of the equation. 16 + -16 + 5y = -16 + -16 Combine like terms: 16 + -16 = 0 0 + 5y = -16 + -16 5y = -16 + -16 Combine like terms: -16 + -16 = -32 5y = -32 Divide each side by '5'. y = -6.4 Simplifying y = -6.4
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