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Simplifying 5y + 3(y + -5) = 4(y + 1) + -2 Reorder the terms: 5y + 3(-5 + y) = 4(y + 1) + -2 5y + (-5 * 3 + y * 3) = 4(y + 1) + -2 5y + (-15 + 3y) = 4(y + 1) + -2 Reorder the terms: -15 + 5y + 3y = 4(y + 1) + -2 Combine like terms: 5y + 3y = 8y -15 + 8y = 4(y + 1) + -2 Reorder the terms: -15 + 8y = 4(1 + y) + -2 -15 + 8y = (1 * 4 + y * 4) + -2 -15 + 8y = (4 + 4y) + -2 Reorder the terms: -15 + 8y = 4 + -2 + 4y Combine like terms: 4 + -2 = 2 -15 + 8y = 2 + 4y Solving -15 + 8y = 2 + 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. -15 + 8y + -4y = 2 + 4y + -4y Combine like terms: 8y + -4y = 4y -15 + 4y = 2 + 4y + -4y Combine like terms: 4y + -4y = 0 -15 + 4y = 2 + 0 -15 + 4y = 2 Add '15' to each side of the equation. -15 + 15 + 4y = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 4y = 2 + 15 4y = 2 + 15 Combine like terms: 2 + 15 = 17 4y = 17 Divide each side by '4'. y = 4.25 Simplifying y = 4.25
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