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Simplifying 4(y + 8) = 10y + -6 Reorder the terms: 4(8 + y) = 10y + -6 (8 * 4 + y * 4) = 10y + -6 (32 + 4y) = 10y + -6 Reorder the terms: 32 + 4y = -6 + 10y Solving 32 + 4y = -6 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 32 + 4y + -10y = -6 + 10y + -10y Combine like terms: 4y + -10y = -6y 32 + -6y = -6 + 10y + -10y Combine like terms: 10y + -10y = 0 32 + -6y = -6 + 0 32 + -6y = -6 Add '-32' to each side of the equation. 32 + -32 + -6y = -6 + -32 Combine like terms: 32 + -32 = 0 0 + -6y = -6 + -32 -6y = -6 + -32 Combine like terms: -6 + -32 = -38 -6y = -38 Divide each side by '-6'. y = 6.333333333 Simplifying y = 6.333333333
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