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Simplifying 8(y + 2) = 3(y + -5) + -7(y + 3) Reorder the terms: 8(2 + y) = 3(y + -5) + -7(y + 3) (2 * 8 + y * 8) = 3(y + -5) + -7(y + 3) (16 + 8y) = 3(y + -5) + -7(y + 3) Reorder the terms: 16 + 8y = 3(-5 + y) + -7(y + 3) 16 + 8y = (-5 * 3 + y * 3) + -7(y + 3) 16 + 8y = (-15 + 3y) + -7(y + 3) Reorder the terms: 16 + 8y = -15 + 3y + -7(3 + y) 16 + 8y = -15 + 3y + (3 * -7 + y * -7) 16 + 8y = -15 + 3y + (-21 + -7y) Reorder the terms: 16 + 8y = -15 + -21 + 3y + -7y Combine like terms: -15 + -21 = -36 16 + 8y = -36 + 3y + -7y Combine like terms: 3y + -7y = -4y 16 + 8y = -36 + -4y Solving 16 + 8y = -36 + -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. 16 + 8y + 4y = -36 + -4y + 4y Combine like terms: 8y + 4y = 12y 16 + 12y = -36 + -4y + 4y Combine like terms: -4y + 4y = 0 16 + 12y = -36 + 0 16 + 12y = -36 Add '-16' to each side of the equation. 16 + -16 + 12y = -36 + -16 Combine like terms: 16 + -16 = 0 0 + 12y = -36 + -16 12y = -36 + -16 Combine like terms: -36 + -16 = -52 12y = -52 Divide each side by '12'. y = -4.333333333 Simplifying y = -4.333333333
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