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Simplifying 5y + 3(y + -7) = 4(y + 2) + -2 Reorder the terms: 5y + 3(-7 + y) = 4(y + 2) + -2 5y + (-7 * 3 + y * 3) = 4(y + 2) + -2 5y + (-21 + 3y) = 4(y + 2) + -2 Reorder the terms: -21 + 5y + 3y = 4(y + 2) + -2 Combine like terms: 5y + 3y = 8y -21 + 8y = 4(y + 2) + -2 Reorder the terms: -21 + 8y = 4(2 + y) + -2 -21 + 8y = (2 * 4 + y * 4) + -2 -21 + 8y = (8 + 4y) + -2 Reorder the terms: -21 + 8y = 8 + -2 + 4y Combine like terms: 8 + -2 = 6 -21 + 8y = 6 + 4y Solving -21 + 8y = 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. -21 + 8y + -4y = 6 + 4y + -4y Combine like terms: 8y + -4y = 4y -21 + 4y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 -21 + 4y = 6 + 0 -21 + 4y = 6 Add '21' to each side of the equation. -21 + 21 + 4y = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 4y = 6 + 21 4y = 6 + 21 Combine like terms: 6 + 21 = 27 4y = 27 Divide each side by '4'. y = 6.75 Simplifying y = 6.75
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