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