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Simplifying 7 + -2(y + -4) = 5(1 + -2y) Reorder the terms: 7 + -2(-4 + y) = 5(1 + -2y) 7 + (-4 * -2 + y * -2) = 5(1 + -2y) 7 + (8 + -2y) = 5(1 + -2y) Combine like terms: 7 + 8 = 15 15 + -2y = 5(1 + -2y) 15 + -2y = (1 * 5 + -2y * 5) 15 + -2y = (5 + -10y) Solving 15 + -2y = 5 + -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. 15 + -2y + 10y = 5 + -10y + 10y Combine like terms: -2y + 10y = 8y 15 + 8y = 5 + -10y + 10y Combine like terms: -10y + 10y = 0 15 + 8y = 5 + 0 15 + 8y = 5 Add '-15' to each side of the equation. 15 + -15 + 8y = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 8y = 5 + -15 8y = 5 + -15 Combine like terms: 5 + -15 = -10 8y = -10 Divide each side by '8'. y = -1.25 Simplifying y = -1.25
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