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Simplifying 3(4y + -7) = 15y + 6 Reorder the terms: 3(-7 + 4y) = 15y + 6 (-7 * 3 + 4y * 3) = 15y + 6 (-21 + 12y) = 15y + 6 Reorder the terms: -21 + 12y = 6 + 15y Solving -21 + 12y = 6 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -21 + 12y + -15y = 6 + 15y + -15y Combine like terms: 12y + -15y = -3y -21 + -3y = 6 + 15y + -15y Combine like terms: 15y + -15y = 0 -21 + -3y = 6 + 0 -21 + -3y = 6 Add '21' to each side of the equation. -21 + 21 + -3y = 6 + 21 Combine like terms: -21 + 21 = 0 0 + -3y = 6 + 21 -3y = 6 + 21 Combine like terms: 6 + 21 = 27 -3y = 27 Divide each side by '-3'. y = -9 Simplifying y = -9
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