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Simplifying 4(3y + -3) + -5 = 2y + 3 Reorder the terms: 4(-3 + 3y) + -5 = 2y + 3 (-3 * 4 + 3y * 4) + -5 = 2y + 3 (-12 + 12y) + -5 = 2y + 3 Reorder the terms: -12 + -5 + 12y = 2y + 3 Combine like terms: -12 + -5 = -17 -17 + 12y = 2y + 3 Reorder the terms: -17 + 12y = 3 + 2y Solving -17 + 12y = 3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -17 + 12y + -2y = 3 + 2y + -2y Combine like terms: 12y + -2y = 10y -17 + 10y = 3 + 2y + -2y Combine like terms: 2y + -2y = 0 -17 + 10y = 3 + 0 -17 + 10y = 3 Add '17' to each side of the equation. -17 + 17 + 10y = 3 + 17 Combine like terms: -17 + 17 = 0 0 + 10y = 3 + 17 10y = 3 + 17 Combine like terms: 3 + 17 = 20 10y = 20 Divide each side by '10'. y = 2 Simplifying y = 2
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