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Simplifying -8y + 32 = 2(y + -4) Reorder the terms: 32 + -8y = 2(y + -4) Reorder the terms: 32 + -8y = 2(-4 + y) 32 + -8y = (-4 * 2 + y * 2) 32 + -8y = (-8 + 2y) Solving 32 + -8y = -8 + 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. 32 + -8y + -2y = -8 + 2y + -2y Combine like terms: -8y + -2y = -10y 32 + -10y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 32 + -10y = -8 + 0 32 + -10y = -8 Add '-32' to each side of the equation. 32 + -32 + -10y = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -10y = -8 + -32 -10y = -8 + -32 Combine like terms: -8 + -32 = -40 -10y = -40 Divide each side by '-10'. y = 4 Simplifying y = 4
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