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Simplifying 4y + -4(2y + 2) = 1 + -4(5 + -1y) Reorder the terms: 4y + -4(2 + 2y) = 1 + -4(5 + -1y) 4y + (2 * -4 + 2y * -4) = 1 + -4(5 + -1y) 4y + (-8 + -8y) = 1 + -4(5 + -1y) Reorder the terms: -8 + 4y + -8y = 1 + -4(5 + -1y) Combine like terms: 4y + -8y = -4y -8 + -4y = 1 + -4(5 + -1y) -8 + -4y = 1 + (5 * -4 + -1y * -4) -8 + -4y = 1 + (-20 + 4y) Combine like terms: 1 + -20 = -19 -8 + -4y = -19 + 4y Solving -8 + -4y = -19 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -8 + -4y + -4y = -19 + 4y + -4y Combine like terms: -4y + -4y = -8y -8 + -8y = -19 + 4y + -4y Combine like terms: 4y + -4y = 0 -8 + -8y = -19 + 0 -8 + -8y = -19 Add '8' to each side of the equation. -8 + 8 + -8y = -19 + 8 Combine like terms: -8 + 8 = 0 0 + -8y = -19 + 8 -8y = -19 + 8 Combine like terms: -19 + 8 = -11 -8y = -11 Divide each side by '-8'. y = 1.375 Simplifying y = 1.375
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