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Simplifying 2y + -36 = 3(4y + -2) Reorder the terms: -36 + 2y = 3(4y + -2) Reorder the terms: -36 + 2y = 3(-2 + 4y) -36 + 2y = (-2 * 3 + 4y * 3) -36 + 2y = (-6 + 12y) Solving -36 + 2y = -6 + 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 + 2y + -12y = -6 + 12y + -12y Combine like terms: 2y + -12y = -10y -36 + -10y = -6 + 12y + -12y Combine like terms: 12y + -12y = 0 -36 + -10y = -6 + 0 -36 + -10y = -6 Add '36' to each side of the equation. -36 + 36 + -10y = -6 + 36 Combine like terms: -36 + 36 = 0 0 + -10y = -6 + 36 -10y = -6 + 36 Combine like terms: -6 + 36 = 30 -10y = 30 Divide each side by '-10'. y = -3 Simplifying y = -3
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