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Simplifying 36y2 + 24y + 4 + -27 = 16y2 + -81 + 20y2 + -70y + 8y + -28 Reorder the terms: 4 + -27 + 24y + 36y2 = 16y2 + -81 + 20y2 + -70y + 8y + -28 Combine like terms: 4 + -27 = -23 -23 + 24y + 36y2 = 16y2 + -81 + 20y2 + -70y + 8y + -28 Reorder the terms: -23 + 24y + 36y2 = -81 + -28 + -70y + 8y + 16y2 + 20y2 Combine like terms: -81 + -28 = -109 -23 + 24y + 36y2 = -109 + -70y + 8y + 16y2 + 20y2 Combine like terms: -70y + 8y = -62y -23 + 24y + 36y2 = -109 + -62y + 16y2 + 20y2 Combine like terms: 16y2 + 20y2 = 36y2 -23 + 24y + 36y2 = -109 + -62y + 36y2 Add '-36y2' to each side of the equation. -23 + 24y + 36y2 + -36y2 = -109 + -62y + 36y2 + -36y2 Combine like terms: 36y2 + -36y2 = 0 -23 + 24y + 0 = -109 + -62y + 36y2 + -36y2 -23 + 24y = -109 + -62y + 36y2 + -36y2 Combine like terms: 36y2 + -36y2 = 0 -23 + 24y = -109 + -62y + 0 -23 + 24y = -109 + -62y Solving -23 + 24y = -109 + -62y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '62y' to each side of the equation. -23 + 24y + 62y = -109 + -62y + 62y Combine like terms: 24y + 62y = 86y -23 + 86y = -109 + -62y + 62y Combine like terms: -62y + 62y = 0 -23 + 86y = -109 + 0 -23 + 86y = -109 Add '23' to each side of the equation. -23 + 23 + 86y = -109 + 23 Combine like terms: -23 + 23 = 0 0 + 86y = -109 + 23 86y = -109 + 23 Combine like terms: -109 + 23 = -86 86y = -86 Divide each side by '86'. y = -1 Simplifying y = -1
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