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Simplifying 4 + -5y + 3 = 3y + 13 + -5y Reorder the terms: 4 + 3 + -5y = 3y + 13 + -5y Combine like terms: 4 + 3 = 7 7 + -5y = 3y + 13 + -5y Reorder the terms: 7 + -5y = 13 + 3y + -5y Combine like terms: 3y + -5y = -2y 7 + -5y = 13 + -2y Solving 7 + -5y = 13 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 7 + -5y + 2y = 13 + -2y + 2y Combine like terms: -5y + 2y = -3y 7 + -3y = 13 + -2y + 2y Combine like terms: -2y + 2y = 0 7 + -3y = 13 + 0 7 + -3y = 13 Add '-7' to each side of the equation. 7 + -7 + -3y = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = 13 + -7 -3y = 13 + -7 Combine like terms: 13 + -7 = 6 -3y = 6 Divide each side by '-3'. y = -2 Simplifying y = -2
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