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Simplifying 5y + -13 = 6(y + 3) Reorder the terms: -13 + 5y = 6(y + 3) Reorder the terms: -13 + 5y = 6(3 + y) -13 + 5y = (3 * 6 + y * 6) -13 + 5y = (18 + 6y) Solving -13 + 5y = 18 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -13 + 5y + -6y = 18 + 6y + -6y Combine like terms: 5y + -6y = -1y -13 + -1y = 18 + 6y + -6y Combine like terms: 6y + -6y = 0 -13 + -1y = 18 + 0 -13 + -1y = 18 Add '13' to each side of the equation. -13 + 13 + -1y = 18 + 13 Combine like terms: -13 + 13 = 0 0 + -1y = 18 + 13 -1y = 18 + 13 Combine like terms: 18 + 13 = 31 -1y = 31 Divide each side by '-1'. y = -31 Simplifying y = -31
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