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Simplifying 4(13 + -1y) = 9y + -1(y + -7) (13 * 4 + -1y * 4) = 9y + -1(y + -7) (52 + -4y) = 9y + -1(y + -7) Reorder the terms: 52 + -4y = 9y + -1(-7 + y) 52 + -4y = 9y + (-7 * -1 + y * -1) 52 + -4y = 9y + (7 + -1y) Reorder the terms: 52 + -4y = 7 + 9y + -1y Combine like terms: 9y + -1y = 8y 52 + -4y = 7 + 8y Solving 52 + -4y = 7 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 52 + -4y + -8y = 7 + 8y + -8y Combine like terms: -4y + -8y = -12y 52 + -12y = 7 + 8y + -8y Combine like terms: 8y + -8y = 0 52 + -12y = 7 + 0 52 + -12y = 7 Add '-52' to each side of the equation. 52 + -52 + -12y = 7 + -52 Combine like terms: 52 + -52 = 0 0 + -12y = 7 + -52 -12y = 7 + -52 Combine like terms: 7 + -52 = -45 -12y = -45 Divide each side by '-12'. y = 3.75 Simplifying y = 3.75
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