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Simplifying 4y + -3y + 7 + -1y = 2 + -1(7 + -1y) Reorder the terms: 7 + 4y + -3y + -1y = 2 + -1(7 + -1y) Combine like terms: 4y + -3y = 1y 7 + 1y + -1y = 2 + -1(7 + -1y) Combine like terms: 1y + -1y = 0 7 + 0 = 2 + -1(7 + -1y) 7 = 2 + -1(7 + -1y) 7 = 2 + (7 * -1 + -1y * -1) 7 = 2 + (-7 + 1y) Combine like terms: 2 + -7 = -5 7 = -5 + 1y Solving 7 = -5 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 7 + -1y = -5 + 1y + -1y Combine like terms: 1y + -1y = 0 7 + -1y = -5 + 0 7 + -1y = -5 Add '-7' to each side of the equation. 7 + -7 + -1y = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = -5 + -7 -1y = -5 + -7 Combine like terms: -5 + -7 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12
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