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Simplifying 3y + 13 = -1(y + 2) Reorder the terms: 13 + 3y = -1(y + 2) Reorder the terms: 13 + 3y = -1(2 + y) 13 + 3y = (2 * -1 + y * -1) 13 + 3y = (-2 + -1y) Solving 13 + 3y = -2 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 13 + 3y + y = -2 + -1y + y Combine like terms: 3y + y = 4y 13 + 4y = -2 + -1y + y Combine like terms: -1y + y = 0 13 + 4y = -2 + 0 13 + 4y = -2 Add '-13' to each side of the equation. 13 + -13 + 4y = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 4y = -2 + -13 4y = -2 + -13 Combine like terms: -2 + -13 = -15 4y = -15 Divide each side by '4'. y = -3.75 Simplifying y = -3.75
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