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Simplifying 5y + 4(y + -7) = 4(y + 2) + -2 Reorder the terms: 5y + 4(-7 + y) = 4(y + 2) + -2 5y + (-7 * 4 + y * 4) = 4(y + 2) + -2 5y + (-28 + 4y) = 4(y + 2) + -2 Reorder the terms: -28 + 5y + 4y = 4(y + 2) + -2 Combine like terms: 5y + 4y = 9y -28 + 9y = 4(y + 2) + -2 Reorder the terms: -28 + 9y = 4(2 + y) + -2 -28 + 9y = (2 * 4 + y * 4) + -2 -28 + 9y = (8 + 4y) + -2 Reorder the terms: -28 + 9y = 8 + -2 + 4y Combine like terms: 8 + -2 = 6 -28 + 9y = 6 + 4y Solving -28 + 9y = 6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -28 + 9y + -4y = 6 + 4y + -4y Combine like terms: 9y + -4y = 5y -28 + 5y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 -28 + 5y = 6 + 0 -28 + 5y = 6 Add '28' to each side of the equation. -28 + 28 + 5y = 6 + 28 Combine like terms: -28 + 28 = 0 0 + 5y = 6 + 28 5y = 6 + 28 Combine like terms: 6 + 28 = 34 5y = 34 Divide each side by '5'. y = 6.8 Simplifying y = 6.8
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