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Simplifying 4y + -4(5y + 4) = 2y + 2 Reorder the terms: 4y + -4(4 + 5y) = 2y + 2 4y + (4 * -4 + 5y * -4) = 2y + 2 4y + (-16 + -20y) = 2y + 2 Reorder the terms: -16 + 4y + -20y = 2y + 2 Combine like terms: 4y + -20y = -16y -16 + -16y = 2y + 2 Reorder the terms: -16 + -16y = 2 + 2y Solving -16 + -16y = 2 + 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. -16 + -16y + -2y = 2 + 2y + -2y Combine like terms: -16y + -2y = -18y -16 + -18y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 -16 + -18y = 2 + 0 -16 + -18y = 2 Add '16' to each side of the equation. -16 + 16 + -18y = 2 + 16 Combine like terms: -16 + 16 = 0 0 + -18y = 2 + 16 -18y = 2 + 16 Combine like terms: 2 + 16 = 18 -18y = 18 Divide each side by '-18'. y = -1 Simplifying y = -1
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