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Simplifying 7(-1y + 1) + -3(4y + -3) = -1y + 9 + -4y Reorder the terms: 7(1 + -1y) + -3(4y + -3) = -1y + 9 + -4y (1 * 7 + -1y * 7) + -3(4y + -3) = -1y + 9 + -4y (7 + -7y) + -3(4y + -3) = -1y + 9 + -4y Reorder the terms: 7 + -7y + -3(-3 + 4y) = -1y + 9 + -4y 7 + -7y + (-3 * -3 + 4y * -3) = -1y + 9 + -4y 7 + -7y + (9 + -12y) = -1y + 9 + -4y Reorder the terms: 7 + 9 + -7y + -12y = -1y + 9 + -4y Combine like terms: 7 + 9 = 16 16 + -7y + -12y = -1y + 9 + -4y Combine like terms: -7y + -12y = -19y 16 + -19y = -1y + 9 + -4y Reorder the terms: 16 + -19y = 9 + -1y + -4y Combine like terms: -1y + -4y = -5y 16 + -19y = 9 + -5y Solving 16 + -19y = 9 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 16 + -19y + 5y = 9 + -5y + 5y Combine like terms: -19y + 5y = -14y 16 + -14y = 9 + -5y + 5y Combine like terms: -5y + 5y = 0 16 + -14y = 9 + 0 16 + -14y = 9 Add '-16' to each side of the equation. 16 + -16 + -14y = 9 + -16 Combine like terms: 16 + -16 = 0 0 + -14y = 9 + -16 -14y = 9 + -16 Combine like terms: 9 + -16 = -7 -14y = -7 Divide each side by '-14'. y = 0.5 Simplifying y = 0.5
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