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Simplifying 5y + -15 = -7(y + -3) Reorder the terms: -15 + 5y = -7(y + -3) Reorder the terms: -15 + 5y = -7(-3 + y) -15 + 5y = (-3 * -7 + y * -7) -15 + 5y = (21 + -7y) Solving -15 + 5y = 21 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -15 + 5y + 7y = 21 + -7y + 7y Combine like terms: 5y + 7y = 12y -15 + 12y = 21 + -7y + 7y Combine like terms: -7y + 7y = 0 -15 + 12y = 21 + 0 -15 + 12y = 21 Add '15' to each side of the equation. -15 + 15 + 12y = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 12y = 21 + 15 12y = 21 + 15 Combine like terms: 21 + 15 = 36 12y = 36 Divide each side by '12'. y = 3 Simplifying y = 3
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