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Simplifying -5y + -36 = 3(4y + 5) Reorder the terms: -36 + -5y = 3(4y + 5) Reorder the terms: -36 + -5y = 3(5 + 4y) -36 + -5y = (5 * 3 + 4y * 3) -36 + -5y = (15 + 12y) Solving -36 + -5y = 15 + 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. -36 + -5y + -12y = 15 + 12y + -12y Combine like terms: -5y + -12y = -17y -36 + -17y = 15 + 12y + -12y Combine like terms: 12y + -12y = 0 -36 + -17y = 15 + 0 -36 + -17y = 15 Add '36' to each side of the equation. -36 + 36 + -17y = 15 + 36 Combine like terms: -36 + 36 = 0 0 + -17y = 15 + 36 -17y = 15 + 36 Combine like terms: 15 + 36 = 51 -17y = 51 Divide each side by '-17'. y = -3 Simplifying y = -3
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