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Simplifying y + -5(y + 3) = 3y + 13 Reorder the terms: y + -5(3 + y) = 3y + 13 y + (3 * -5 + y * -5) = 3y + 13 y + (-15 + -5y) = 3y + 13 Reorder the terms: -15 + y + -5y = 3y + 13 Combine like terms: y + -5y = -4y -15 + -4y = 3y + 13 Reorder the terms: -15 + -4y = 13 + 3y Solving -15 + -4y = 13 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -15 + -4y + -3y = 13 + 3y + -3y Combine like terms: -4y + -3y = -7y -15 + -7y = 13 + 3y + -3y Combine like terms: 3y + -3y = 0 -15 + -7y = 13 + 0 -15 + -7y = 13 Add '15' to each side of the equation. -15 + 15 + -7y = 13 + 15 Combine like terms: -15 + 15 = 0 0 + -7y = 13 + 15 -7y = 13 + 15 Combine like terms: 13 + 15 = 28 -7y = 28 Divide each side by '-7'. y = -4 Simplifying y = -4
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