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Simplifying 2y + 4 = 8y + -1(2y + -10) Reorder the terms: 4 + 2y = 8y + -1(2y + -10) Reorder the terms: 4 + 2y = 8y + -1(-10 + 2y) 4 + 2y = 8y + (-10 * -1 + 2y * -1) 4 + 2y = 8y + (10 + -2y) Reorder the terms: 4 + 2y = 10 + 8y + -2y Combine like terms: 8y + -2y = 6y 4 + 2y = 10 + 6y Solving 4 + 2y = 10 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 4 + 2y + -6y = 10 + 6y + -6y Combine like terms: 2y + -6y = -4y 4 + -4y = 10 + 6y + -6y Combine like terms: 6y + -6y = 0 4 + -4y = 10 + 0 4 + -4y = 10 Add '-4' to each side of the equation. 4 + -4 + -4y = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -4y = 10 + -4 -4y = 10 + -4 Combine like terms: 10 + -4 = 6 -4y = 6 Divide each side by '-4'. y = -1.5 Simplifying y = -1.5
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