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Simplifying 5y + -10 = 4(y + 7) Reorder the terms: -10 + 5y = 4(y + 7) Reorder the terms: -10 + 5y = 4(7 + y) -10 + 5y = (7 * 4 + y * 4) -10 + 5y = (28 + 4y) Solving -10 + 5y = 28 + 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. -10 + 5y + -4y = 28 + 4y + -4y Combine like terms: 5y + -4y = 1y -10 + 1y = 28 + 4y + -4y Combine like terms: 4y + -4y = 0 -10 + 1y = 28 + 0 -10 + 1y = 28 Add '10' to each side of the equation. -10 + 10 + 1y = 28 + 10 Combine like terms: -10 + 10 = 0 0 + 1y = 28 + 10 1y = 28 + 10 Combine like terms: 28 + 10 = 38 1y = 38 Divide each side by '1'. y = 38 Simplifying y = 38
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