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Simplifying 32 = 4y + 6(y + -8) Reorder the terms: 32 = 4y + 6(-8 + y) 32 = 4y + (-8 * 6 + y * 6) 32 = 4y + (-48 + 6y) Reorder the terms: 32 = -48 + 4y + 6y Combine like terms: 4y + 6y = 10y 32 = -48 + 10y Solving 32 = -48 + 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 + -10y = -48 + 10y + -10y Combine like terms: 10y + -10y = 0 32 + -10y = -48 + 0 32 + -10y = -48 Add '-32' to each side of the equation. 32 + -32 + -10y = -48 + -32 Combine like terms: 32 + -32 = 0 0 + -10y = -48 + -32 -10y = -48 + -32 Combine like terms: -48 + -32 = -80 -10y = -80 Divide each side by '-10'. y = 8 Simplifying y = 8
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