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Simplifying 4(y + 8) = 4(3y + -14) Reorder the terms: 4(8 + y) = 4(3y + -14) (8 * 4 + y * 4) = 4(3y + -14) (32 + 4y) = 4(3y + -14) Reorder the terms: 32 + 4y = 4(-14 + 3y) 32 + 4y = (-14 * 4 + 3y * 4) 32 + 4y = (-56 + 12y) Solving 32 + 4y = -56 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 32 + 4y + -12y = -56 + 12y + -12y Combine like terms: 4y + -12y = -8y 32 + -8y = -56 + 12y + -12y Combine like terms: 12y + -12y = 0 32 + -8y = -56 + 0 32 + -8y = -56 Add '-32' to each side of the equation. 32 + -32 + -8y = -56 + -32 Combine like terms: 32 + -32 = 0 0 + -8y = -56 + -32 -8y = -56 + -32 Combine like terms: -56 + -32 = -88 -8y = -88 Divide each side by '-8'. y = 11 Simplifying y = 11
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