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Simplifying 5(7 + -3y) + -1y + 13 = 0 (7 * 5 + -3y * 5) + -1y + 13 = 0 (35 + -15y) + -1y + 13 = 0 Reorder the terms: 35 + 13 + -15y + -1y = 0 Combine like terms: 35 + 13 = 48 48 + -15y + -1y = 0 Combine like terms: -15y + -1y = -16y 48 + -16y = 0 Solving 48 + -16y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -16y = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -16y = 0 + -48 -16y = 0 + -48 Combine like terms: 0 + -48 = -48 -16y = -48 Divide each side by '-16'. y = 3 Simplifying y = 3
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