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Simplifying -7y + 15 = -2(y + 4) Reorder the terms: 15 + -7y = -2(y + 4) Reorder the terms: 15 + -7y = -2(4 + y) 15 + -7y = (4 * -2 + y * -2) 15 + -7y = (-8 + -2y) Solving 15 + -7y = -8 + -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. 15 + -7y + 2y = -8 + -2y + 2y Combine like terms: -7y + 2y = -5y 15 + -5y = -8 + -2y + 2y Combine like terms: -2y + 2y = 0 15 + -5y = -8 + 0 15 + -5y = -8 Add '-15' to each side of the equation. 15 + -15 + -5y = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -5y = -8 + -15 -5y = -8 + -15 Combine like terms: -8 + -15 = -23 -5y = -23 Divide each side by '-5'. y = 4.6 Simplifying y = 4.6
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