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Simplifying 5y + -13 = 2(y + -2) Reorder the terms: -13 + 5y = 2(y + -2) Reorder the terms: -13 + 5y = 2(-2 + y) -13 + 5y = (-2 * 2 + y * 2) -13 + 5y = (-4 + 2y) Solving -13 + 5y = -4 + 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. -13 + 5y + -2y = -4 + 2y + -2y Combine like terms: 5y + -2y = 3y -13 + 3y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 -13 + 3y = -4 + 0 -13 + 3y = -4 Add '13' to each side of the equation. -13 + 13 + 3y = -4 + 13 Combine like terms: -13 + 13 = 0 0 + 3y = -4 + 13 3y = -4 + 13 Combine like terms: -4 + 13 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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