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Simplifying 8y + 3(3y + -7) = 4(y + 1) + -2 Reorder the terms: 8y + 3(-7 + 3y) = 4(y + 1) + -2 8y + (-7 * 3 + 3y * 3) = 4(y + 1) + -2 8y + (-21 + 9y) = 4(y + 1) + -2 Reorder the terms: -21 + 8y + 9y = 4(y + 1) + -2 Combine like terms: 8y + 9y = 17y -21 + 17y = 4(y + 1) + -2 Reorder the terms: -21 + 17y = 4(1 + y) + -2 -21 + 17y = (1 * 4 + y * 4) + -2 -21 + 17y = (4 + 4y) + -2 Reorder the terms: -21 + 17y = 4 + -2 + 4y Combine like terms: 4 + -2 = 2 -21 + 17y = 2 + 4y Solving -21 + 17y = 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. -21 + 17y + -4y = 2 + 4y + -4y Combine like terms: 17y + -4y = 13y -21 + 13y = 2 + 4y + -4y Combine like terms: 4y + -4y = 0 -21 + 13y = 2 + 0 -21 + 13y = 2 Add '21' to each side of the equation. -21 + 21 + 13y = 2 + 21 Combine like terms: -21 + 21 = 0 0 + 13y = 2 + 21 13y = 2 + 21 Combine like terms: 2 + 21 = 23 13y = 23 Divide each side by '13'. y = 1.769230769 Simplifying y = 1.769230769
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