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Simplifying -4(3y + 5) + -10 = -6(y + 7) + 3y Reorder the terms: -4(5 + 3y) + -10 = -6(y + 7) + 3y (5 * -4 + 3y * -4) + -10 = -6(y + 7) + 3y (-20 + -12y) + -10 = -6(y + 7) + 3y Reorder the terms: -20 + -10 + -12y = -6(y + 7) + 3y Combine like terms: -20 + -10 = -30 -30 + -12y = -6(y + 7) + 3y Reorder the terms: -30 + -12y = -6(7 + y) + 3y -30 + -12y = (7 * -6 + y * -6) + 3y -30 + -12y = (-42 + -6y) + 3y Combine like terms: -6y + 3y = -3y -30 + -12y = -42 + -3y Solving -30 + -12y = -42 + -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. -30 + -12y + 3y = -42 + -3y + 3y Combine like terms: -12y + 3y = -9y -30 + -9y = -42 + -3y + 3y Combine like terms: -3y + 3y = 0 -30 + -9y = -42 + 0 -30 + -9y = -42 Add '30' to each side of the equation. -30 + 30 + -9y = -42 + 30 Combine like terms: -30 + 30 = 0 0 + -9y = -42 + 30 -9y = -42 + 30 Combine like terms: -42 + 30 = -12 -9y = -12 Divide each side by '-9'. y = 1.333333333 Simplifying y = 1.333333333
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