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Simplifying -8(y + 4) = 10y + 4 Reorder the terms: -8(4 + y) = 10y + 4 (4 * -8 + y * -8) = 10y + 4 (-32 + -8y) = 10y + 4 Reorder the terms: -32 + -8y = 4 + 10y Solving -32 + -8y = 4 + 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 + -8y + -10y = 4 + 10y + -10y Combine like terms: -8y + -10y = -18y -32 + -18y = 4 + 10y + -10y Combine like terms: 10y + -10y = 0 -32 + -18y = 4 + 0 -32 + -18y = 4 Add '32' to each side of the equation. -32 + 32 + -18y = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -18y = 4 + 32 -18y = 4 + 32 Combine like terms: 4 + 32 = 36 -18y = 36 Divide each side by '-18'. y = -2 Simplifying y = -2
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