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Simplifying -4(3y + 2) + -7 = -6(y + 5) + 3y Reorder the terms: -4(2 + 3y) + -7 = -6(y + 5) + 3y (2 * -4 + 3y * -4) + -7 = -6(y + 5) + 3y (-8 + -12y) + -7 = -6(y + 5) + 3y Reorder the terms: -8 + -7 + -12y = -6(y + 5) + 3y Combine like terms: -8 + -7 = -15 -15 + -12y = -6(y + 5) + 3y Reorder the terms: -15 + -12y = -6(5 + y) + 3y -15 + -12y = (5 * -6 + y * -6) + 3y -15 + -12y = (-30 + -6y) + 3y Combine like terms: -6y + 3y = -3y -15 + -12y = -30 + -3y Solving -15 + -12y = -30 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -15 + -12y + 3y = -30 + -3y + 3y Combine like terms: -12y + 3y = -9y -15 + -9y = -30 + -3y + 3y Combine like terms: -3y + 3y = 0 -15 + -9y = -30 + 0 -15 + -9y = -30 Add '15' to each side of the equation. -15 + 15 + -9y = -30 + 15 Combine like terms: -15 + 15 = 0 0 + -9y = -30 + 15 -9y = -30 + 15 Combine like terms: -30 + 15 = -15 -9y = -15 Divide each side by '-9'. y = 1.666666667 Simplifying y = 1.666666667
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