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Simplifying -4(3y + 1) + -14 = -6(y + 5) + 3y Reorder the terms: -4(1 + 3y) + -14 = -6(y + 5) + 3y (1 * -4 + 3y * -4) + -14 = -6(y + 5) + 3y (-4 + -12y) + -14 = -6(y + 5) + 3y Reorder the terms: -4 + -14 + -12y = -6(y + 5) + 3y Combine like terms: -4 + -14 = -18 -18 + -12y = -6(y + 5) + 3y Reorder the terms: -18 + -12y = -6(5 + y) + 3y -18 + -12y = (5 * -6 + y * -6) + 3y -18 + -12y = (-30 + -6y) + 3y Combine like terms: -6y + 3y = -3y -18 + -12y = -30 + -3y Solving -18 + -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. -18 + -12y + 3y = -30 + -3y + 3y Combine like terms: -12y + 3y = -9y -18 + -9y = -30 + -3y + 3y Combine like terms: -3y + 3y = 0 -18 + -9y = -30 + 0 -18 + -9y = -30 Add '18' to each side of the equation. -18 + 18 + -9y = -30 + 18 Combine like terms: -18 + 18 = 0 0 + -9y = -30 + 18 -9y = -30 + 18 Combine like terms: -30 + 18 = -12 -9y = -12 Divide each side by '-9'. y = 1.333333333 Simplifying y = 1.333333333
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