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Simplifying 7y + -1(10 + -1y) = 3(y + -1) + 4y + -2.5 7y + (10 * -1 + -1y * -1) = 3(y + -1) + 4y + -2.5 7y + (-10 + 1y) = 3(y + -1) + 4y + -2.5 Reorder the terms: -10 + 7y + 1y = 3(y + -1) + 4y + -2.5 Combine like terms: 7y + 1y = 8y -10 + 8y = 3(y + -1) + 4y + -2.5 Reorder the terms: -10 + 8y = 3(-1 + y) + 4y + -2.5 -10 + 8y = (-1 * 3 + y * 3) + 4y + -2.5 -10 + 8y = (-3 + 3y) + 4y + -2.5 Reorder the terms: -10 + 8y = -3 + -2.5 + 3y + 4y Combine like terms: -3 + -2.5 = -5.5 -10 + 8y = -5.5 + 3y + 4y Combine like terms: 3y + 4y = 7y -10 + 8y = -5.5 + 7y Solving -10 + 8y = -5.5 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -10 + 8y + -7y = -5.5 + 7y + -7y Combine like terms: 8y + -7y = 1y -10 + 1y = -5.5 + 7y + -7y Combine like terms: 7y + -7y = 0 -10 + 1y = -5.5 + 0 -10 + 1y = -5.5 Add '10' to each side of the equation. -10 + 10 + 1y = -5.5 + 10 Combine like terms: -10 + 10 = 0 0 + 1y = -5.5 + 10 1y = -5.5 + 10 Combine like terms: -5.5 + 10 = 4.5 1y = 4.5 Divide each side by '1'. y = 4.5 Simplifying y = 4.5
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