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Simplifying 2y + -2 = 7(y + 4) Reorder the terms: -2 + 2y = 7(y + 4) Reorder the terms: -2 + 2y = 7(4 + y) -2 + 2y = (4 * 7 + y * 7) -2 + 2y = (28 + 7y) Solving -2 + 2y = 28 + 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. -2 + 2y + -7y = 28 + 7y + -7y Combine like terms: 2y + -7y = -5y -2 + -5y = 28 + 7y + -7y Combine like terms: 7y + -7y = 0 -2 + -5y = 28 + 0 -2 + -5y = 28 Add '2' to each side of the equation. -2 + 2 + -5y = 28 + 2 Combine like terms: -2 + 2 = 0 0 + -5y = 28 + 2 -5y = 28 + 2 Combine like terms: 28 + 2 = 30 -5y = 30 Divide each side by '-5'. y = -6 Simplifying y = -6
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