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Simplifying -52 + 10y + 6 = 4(3y + -5) + -8 Reorder the terms: -52 + 6 + 10y = 4(3y + -5) + -8 Combine like terms: -52 + 6 = -46 -46 + 10y = 4(3y + -5) + -8 Reorder the terms: -46 + 10y = 4(-5 + 3y) + -8 -46 + 10y = (-5 * 4 + 3y * 4) + -8 -46 + 10y = (-20 + 12y) + -8 Reorder the terms: -46 + 10y = -20 + -8 + 12y Combine like terms: -20 + -8 = -28 -46 + 10y = -28 + 12y Solving -46 + 10y = -28 + 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. -46 + 10y + -12y = -28 + 12y + -12y Combine like terms: 10y + -12y = -2y -46 + -2y = -28 + 12y + -12y Combine like terms: 12y + -12y = 0 -46 + -2y = -28 + 0 -46 + -2y = -28 Add '46' to each side of the equation. -46 + 46 + -2y = -28 + 46 Combine like terms: -46 + 46 = 0 0 + -2y = -28 + 46 -2y = -28 + 46 Combine like terms: -28 + 46 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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